Finding the Third Proportional to 10,892.29 and 23,857.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,892.29 : 23,857.66 = 23,857.66 : x
2. Step 2: Convert to fraction form
   10,892.29/23,857.66 = 23,857.66/x
3. Step 3: Cross multiply
   10,892.29x = 23,857.66 × 23,857.66
4. Step 4: Simplify right side
   10,892.29x = 569,188,134.52
5. Step 5: Solve for x
   x = 569,188,134.52/10,892.29
6. Step 6: Final answer
   x = 52,256.08