Finding the Third Proportional to 47,974.50 and 75,254.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,974.50 : 75,254.25 = 75,254.25 : x
2. Step 2: Convert to fraction form
   47,974.50/75,254.25 = 75,254.25/x
3. Step 3: Cross multiply
   47,974.50x = 75,254.25 × 75,254.25
4. Step 4: Simplify right side
   47,974.50x = 5,663,202,143.06
5. Step 5: Solve for x
   x = 5,663,202,143.06/47,974.50
6. Step 6: Final answer
   x = 118,046.09