Finding the Third Proportional to 10,082.25 and 23,141.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,082.25 : 23,141.63 = 23,141.63 : x
2. Step 2: Convert to fraction form
   10,082.25/23,141.63 = 23,141.63/x
3. Step 3: Cross multiply
   10,082.25x = 23,141.63 × 23,141.63
4. Step 4: Simplify right side
   10,082.25x = 535,534,807.64
5. Step 5: Solve for x
   x = 535,534,807.64/10,082.25
6. Step 6: Final answer
   x = 53,116.60