Finding the Third Proportional to 11,002.50 and 16,461.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,002.50 : 16,461.56 = 16,461.56 : x
2. Step 2: Convert to fraction form
   11,002.50/16,461.56 = 16,461.56/x
3. Step 3: Cross multiply
   11,002.50x = 16,461.56 × 16,461.56
4. Step 4: Simplify right side
   11,002.50x = 270,983,039.94
5. Step 5: Solve for x
   x = 270,983,039.94/11,002.50
6. Step 6: Final answer
   x = 24,629.22