Finding the Third Proportional to 25,590 and 38,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,590 : 38,782.50 = 38,782.50 : x
2. Step 2: Convert to fraction form
   25,590/38,782.50 = 38,782.50/x
3. Step 3: Cross multiply
   25,590x = 38,782.50 × 38,782.50
4. Step 4: Simplify right side
   25,590x = 1,504,082,306.25
5. Step 5: Solve for x
   x = 1,504,082,306.25/25,590
6. Step 6: Final answer
   x = 58,776.17