Finding the Third Proportional to 47,945.25 and 75,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,945.25 : 75,046.50 = 75,046.50 : x
2. Step 2: Convert to fraction form
   47,945.25/75,046.50 = 75,046.50/x
3. Step 3: Cross multiply
   47,945.25x = 75,046.50 × 75,046.50
4. Step 4: Simplify right side
   47,945.25x = 5,631,977,162.25
5. Step 5: Solve for x
   x = 5,631,977,162.25/47,945.25
6. Step 6: Final answer
   x = 117,466.84