Finding the Third Proportional to 25,782 and 54,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,782 : 54,613.50 = 54,613.50 : x
2. Step 2: Convert to fraction form
   25,782/54,613.50 = 54,613.50/x
3. Step 3: Cross multiply
   25,782x = 54,613.50 × 54,613.50
4. Step 4: Simplify right side
   25,782x = 2,982,634,382.25
5. Step 5: Solve for x
   x = 2,982,634,382.25/25,782
6. Step 6: Final answer
   x = 115,686.70