Finding the Third Proportional to 25,705 and 38,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,705 : 38,989.50 = 38,989.50 : x
2. Step 2: Convert to fraction form
   25,705/38,989.50 = 38,989.50/x
3. Step 3: Cross multiply
   25,705x = 38,989.50 × 38,989.50
4. Step 4: Simplify right side
   25,705x = 1,520,181,110.25
5. Step 5: Solve for x
   x = 1,520,181,110.25/25,705
6. Step 6: Final answer
   x = 59,139.51