Finding the Third Proportional to 25,731 and 38,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,731 : 38,872.50 = 38,872.50 : x
2. Step 2: Convert to fraction form
   25,731/38,872.50 = 38,872.50/x
3. Step 3: Cross multiply
   25,731x = 38,872.50 × 38,872.50
4. Step 4: Simplify right side
   25,731x = 1,511,071,256.25
5. Step 5: Solve for x
   x = 1,511,071,256.25/25,731
6. Step 6: Final answer
   x = 58,725.71