Finding the Third Proportional to 25,175.25 and 38,724.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,175.25 : 38,724.75 = 38,724.75 : x
2. Step 2: Convert to fraction form
   25,175.25/38,724.75 = 38,724.75/x
3. Step 3: Cross multiply
   25,175.25x = 38,724.75 × 38,724.75
4. Step 4: Simplify right side
   25,175.25x = 1,499,606,262.56
5. Step 5: Solve for x
   x = 1,499,606,262.56/25,175.25
6. Step 6: Final answer
   x = 59,566.69