Finding the Third Proportional to 25,585.50 and 38,775.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,585.50 : 38,775.75 = 38,775.75 : x
2. Step 2: Convert to fraction form
   25,585.50/38,775.75 = 38,775.75/x
3. Step 3: Cross multiply
   25,585.50x = 38,775.75 × 38,775.75
4. Step 4: Simplify right side
   25,585.50x = 1,503,558,788.06
5. Step 5: Solve for x
   x = 1,503,558,788.06/25,585.50
6. Step 6: Final answer
   x = 58,766.05