Finding the Third Proportional to 25,077.50 and 38,108.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,077.50 : 38,108.75 = 38,108.75 : x
2. Step 2: Convert to fraction form
   25,077.50/38,108.75 = 38,108.75/x
3. Step 3: Cross multiply
   25,077.50x = 38,108.75 × 38,108.75
4. Step 4: Simplify right side
   25,077.50x = 1,452,276,826.56
5. Step 5: Solve for x
   x = 1,452,276,826.56/25,077.50
6. Step 6: Final answer
   x = 57,911.55