Finding the Third Proportional to 25,948.50 and 36,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,948.50 : 36,978.75 = 36,978.75 : x
2. Step 2: Convert to fraction form
   25,948.50/36,978.75 = 36,978.75/x
3. Step 3: Cross multiply
   25,948.50x = 36,978.75 × 36,978.75
4. Step 4: Simplify right side
   25,948.50x = 1,367,427,951.56
5. Step 5: Solve for x
   x = 1,367,427,951.56/25,948.50
6. Step 6: Final answer
   x = 52,697.76