Finding the Third Proportional to 37,638 and 77,820

Step by Step Solution

1. Step 1: Write the proportion equation
   37,638 : 77,820 = 77,820 : x
2. Step 2: Convert to fraction form
   37,638/77,820 = 77,820/x
3. Step 3: Cross multiply
   37,638x = 77,820 × 77,820
4. Step 4: Simplify right side
   37,638x = 6,055,952,400
5. Step 5: Solve for x
   x = 6,055,952,400/37,638
6. Step 6: Final answer
   x = 160,899.95