Finding the Third Proportional to 25,575.75 and 38,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,575.75 : 38,758.50 = 38,758.50 : x
2. Step 2: Convert to fraction form
   25,575.75/38,758.50 = 38,758.50/x
3. Step 3: Cross multiply
   25,575.75x = 38,758.50 × 38,758.50
4. Step 4: Simplify right side
   25,575.75x = 1,502,221,322.25
5. Step 5: Solve for x
   x = 1,502,221,322.25/25,575.75
6. Step 6: Final answer
   x = 58,736.16