Finding the Third Proportional to 25,077 and 54,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,077 : 54,649.50 = 54,649.50 : x
2. Step 2: Convert to fraction form
   25,077/54,649.50 = 54,649.50/x
3. Step 3: Cross multiply
   25,077x = 54,649.50 × 54,649.50
4. Step 4: Simplify right side
   25,077x = 2,986,567,850.25
5. Step 5: Solve for x
   x = 2,986,567,850.25/25,077
6. Step 6: Final answer
   x = 119,095.90