Finding the Third Proportional to 27,633 and 42,498

Step by Step Solution

1. Step 1: Write the proportion equation
   27,633 : 42,498 = 42,498 : x
2. Step 2: Convert to fraction form
   27,633/42,498 = 42,498/x
3. Step 3: Cross multiply
   27,633x = 42,498 × 42,498
4. Step 4: Simplify right side
   27,633x = 1,806,080,004
5. Step 5: Solve for x
   x = 1,806,080,004/27,633
6. Step 6: Final answer
   x = 65,359.53