Finding the Third Proportional to 25,812 and 56,541.38

Step by Step Solution

1. Step 1: Write the proportion equation
   25,812 : 56,541.38 = 56,541.38 : x
2. Step 2: Convert to fraction form
   25,812/56,541.38 = 56,541.38/x
3. Step 3: Cross multiply
   25,812x = 56,541.38 × 56,541.38
4. Step 4: Simplify right side
   25,812x = 3,196,927,086.89
5. Step 5: Solve for x
   x = 3,196,927,086.89/25,812
6. Step 6: Final answer
   x = 123,854.30