Finding the Third Proportional to 13,866 and 29,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,866 : 29,677.50 = 29,677.50 : x
2. Step 2: Convert to fraction form
   13,866/29,677.50 = 29,677.50/x
3. Step 3: Cross multiply
   13,866x = 29,677.50 × 29,677.50
4. Step 4: Simplify right side
   13,866x = 880,754,006.25
5. Step 5: Solve for x
   x = 880,754,006.25/13,866
6. Step 6: Final answer
   x = 63,518.97