Finding the Third Proportional to 25,830 and 54,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,830 : 54,733.50 = 54,733.50 : x
2. Step 2: Convert to fraction form
   25,830/54,733.50 = 54,733.50/x
3. Step 3: Cross multiply
   25,830x = 54,733.50 × 54,733.50
4. Step 4: Simplify right side
   25,830x = 2,995,756,022.25
5. Step 5: Solve for x
   x = 2,995,756,022.25/25,830
6. Step 6: Final answer
   x = 115,979.71