Finding the Third Proportional to 5,692,282,068,806 and 8,671,797,987,492

Step by Step Solution

1. Step 1: Write the proportion equation
   5,692,282,068,806 : 8,671,797,987,492 = 8,671,797,987,492 : x
2. Step 2: Convert to fraction form
   5,692,282,068,806/8,671,797,987,492 = 8,671,797,987,492/x
3. Step 3: Cross multiply
   5,692,282,068,806x = 8,671,797,987,492 × 8,671,797,987,492
4. Step 4: Simplify right side
   5,692,282,068,806x = 75,200,080,335,870,297,695,584,256
5. Step 5: Solve for x
   x = 75,200,080,335,870,297,695,584,256/5,692,282,068,806
6. Step 6: Final answer
   x = 13,210,884,391,687.23