Finding the Third Proportional to 25,842 and 54,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,842 : 54,736.50 = 54,736.50 : x
2. Step 2: Convert to fraction form
   25,842/54,736.50 = 54,736.50/x
3. Step 3: Cross multiply
   25,842x = 54,736.50 × 54,736.50
4. Step 4: Simplify right side
   25,842x = 2,996,084,432.25
5. Step 5: Solve for x
   x = 2,996,084,432.25/25,842
6. Step 6: Final answer
   x = 115,938.57