Finding the Third Proportional to 10,114.88 and 22,082.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114.88 : 22,082.63 = 22,082.63 : x
2. Step 2: Convert to fraction form
   10,114.88/22,082.63 = 22,082.63/x
3. Step 3: Cross multiply
   10,114.88x = 22,082.63 × 22,082.63
4. Step 4: Simplify right side
   10,114.88x = 487,642,326.89
5. Step 5: Solve for x
   x = 487,642,326.89/10,114.88
6. Step 6: Final answer
   x = 48,210.42