Finding the Third Proportional to 2,649.50 and 5,232.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.50 : 5,232.31 = 5,232.31 : x
2. Step 2: Convert to fraction form
   2,649.50/5,232.31 = 5,232.31/x
3. Step 3: Cross multiply
   2,649.50x = 5,232.31 × 5,232.31
4. Step 4: Simplify right side
   2,649.50x = 27,377,094.10
5. Step 5: Solve for x
   x = 27,377,094.10/2,649.50
6. Step 6: Final answer
   x = 10,332.93