Finding the Third Proportional to 14,208 and 31,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,208 : 31,006.50 = 31,006.50 : x
2. Step 2: Convert to fraction form
   14,208/31,006.50 = 31,006.50/x
3. Step 3: Cross multiply
   14,208x = 31,006.50 × 31,006.50
4. Step 4: Simplify right side
   14,208x = 961,403,042.25
5. Step 5: Solve for x
   x = 961,403,042.25/14,208
6. Step 6: Final answer
   x = 67,666.32