Finding the Third Proportional to 25,296 and 38,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,296 : 38,025.50 = 38,025.50 : x
2. Step 2: Convert to fraction form
   25,296/38,025.50 = 38,025.50/x
3. Step 3: Cross multiply
   25,296x = 38,025.50 × 38,025.50
4. Step 4: Simplify right side
   25,296x = 1,445,938,650.25
5. Step 5: Solve for x
   x = 1,445,938,650.25/25,296
6. Step 6: Final answer
   x = 57,160.76