Finding the Third Proportional to 25,644 and 54,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,644 : 54,091.50 = 54,091.50 : x
2. Step 2: Convert to fraction form
   25,644/54,091.50 = 54,091.50/x
3. Step 3: Cross multiply
   25,644x = 54,091.50 × 54,091.50
4. Step 4: Simplify right side
   25,644x = 2,925,890,372.25
5. Step 5: Solve for x
   x = 2,925,890,372.25/25,644
6. Step 6: Final answer
   x = 114,096.49