Finding the Third Proportional to 25,671 and 38,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,671 : 38,335.50 = 38,335.50 : x
2. Step 2: Convert to fraction form
   25,671/38,335.50 = 38,335.50/x
3. Step 3: Cross multiply
   25,671x = 38,335.50 × 38,335.50
4. Step 4: Simplify right side
   25,671x = 1,469,610,560.25
5. Step 5: Solve for x
   x = 1,469,610,560.25/25,671
6. Step 6: Final answer
   x = 57,247.89