Finding the Third Proportional to 25,702.50 and 54,798

Step by Step Solution

1. Step 1: Write the proportion equation
   25,702.50 : 54,798 = 54,798 : x
2. Step 2: Convert to fraction form
   25,702.50/54,798 = 54,798/x
3. Step 3: Cross multiply
   25,702.50x = 54,798 × 54,798
4. Step 4: Simplify right side
   25,702.50x = 3,002,820,804
5. Step 5: Solve for x
   x = 3,002,820,804/25,702.50
6. Step 6: Final answer
   x = 116,829.91