Finding the Third Proportional to 25,534 and 54,957.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,534 : 54,957.50 = 54,957.50 : x
2. Step 2: Convert to fraction form
   25,534/54,957.50 = 54,957.50/x
3. Step 3: Cross multiply
   25,534x = 54,957.50 × 54,957.50
4. Step 4: Simplify right side
   25,534x = 3,020,326,806.25
5. Step 5: Solve for x
   x = 3,020,326,806.25/25,534
6. Step 6: Final answer
   x = 118,286.47