Finding the Third Proportional to 25,257 and 39,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,257 : 39,622.50 = 39,622.50 : x
2. Step 2: Convert to fraction form
   25,257/39,622.50 = 39,622.50/x
3. Step 3: Cross multiply
   25,257x = 39,622.50 × 39,622.50
4. Step 4: Simplify right side
   25,257x = 1,569,942,506.25
5. Step 5: Solve for x
   x = 1,569,942,506.25/25,257
6. Step 6: Final answer
   x = 62,158.71