Finding the Third Proportional to 10,649.25 and 16,123.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,649.25 : 16,123.13 = 16,123.13 : x
2. Step 2: Convert to fraction form
   10,649.25/16,123.13 = 16,123.13/x
3. Step 3: Cross multiply
   10,649.25x = 16,123.13 × 16,123.13
4. Step 4: Simplify right side
   10,649.25x = 259,955,159.77
5. Step 5: Solve for x
   x = 259,955,159.77/10,649.25
6. Step 6: Final answer
   x = 24,410.65