Finding the Third Proportional to 14,499 and 33,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,499 : 33,277.50 = 33,277.50 : x
2. Step 2: Convert to fraction form
   14,499/33,277.50 = 33,277.50/x
3. Step 3: Cross multiply
   14,499x = 33,277.50 × 33,277.50
4. Step 4: Simplify right side
   14,499x = 1,107,392,006.25
5. Step 5: Solve for x
   x = 1,107,392,006.25/14,499
6. Step 6: Final answer
   x = 76,377.13