Finding the Third Proportional to 25,261.50 and 38,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,261.50 : 38,662.50 = 38,662.50 : x
2. Step 2: Convert to fraction form
   25,261.50/38,662.50 = 38,662.50/x
3. Step 3: Cross multiply
   25,261.50x = 38,662.50 × 38,662.50
4. Step 4: Simplify right side
   25,261.50x = 1,494,788,906.25
5. Step 5: Solve for x
   x = 1,494,788,906.25/25,261.50
6. Step 6: Final answer
   x = 59,172.61