Finding the Third Proportional to 17,776 and 38,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,776 : 38,402.50 = 38,402.50 : x
2. Step 2: Convert to fraction form
   17,776/38,402.50 = 38,402.50/x
3. Step 3: Cross multiply
   17,776x = 38,402.50 × 38,402.50
4. Step 4: Simplify right side
   17,776x = 1,474,752,006.25
5. Step 5: Solve for x
   x = 1,474,752,006.25/17,776
6. Step 6: Final answer
   x = 82,963.10