Finding the Third Proportional to 10,516.13 and 23,166.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516.13 : 23,166.38 = 23,166.38 : x
2. Step 2: Convert to fraction form
   10,516.13/23,166.38 = 23,166.38/x
3. Step 3: Cross multiply
   10,516.13x = 23,166.38 × 23,166.38
4. Step 4: Simplify right side
   10,516.13x = 536,680,930.64
5. Step 5: Solve for x
   x = 536,680,930.64/10,516.13
6. Step 6: Final answer
   x = 51,034.10