Finding the Third Proportional to 25,725 and 56,374

Step by Step Solution

1. Step 1: Write the proportion equation
   25,725 : 56,374 = 56,374 : x
2. Step 2: Convert to fraction form
   25,725/56,374 = 56,374/x
3. Step 3: Cross multiply
   25,725x = 56,374 × 56,374
4. Step 4: Simplify right side
   25,725x = 3,178,027,876
5. Step 5: Solve for x
   x = 3,178,027,876/25,725
6. Step 6: Final answer
   x = 123,538.50