Finding the Third Proportional to 25,644.75 and 57,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,644.75 : 57,874.50 = 57,874.50 : x
2. Step 2: Convert to fraction form
   25,644.75/57,874.50 = 57,874.50/x
3. Step 3: Cross multiply
   25,644.75x = 57,874.50 × 57,874.50
4. Step 4: Simplify right side
   25,644.75x = 3,349,457,750.25
5. Step 5: Solve for x
   x = 3,349,457,750.25/25,644.75
6. Step 6: Final answer
   x = 130,609.88