Finding the Third Proportional to 47,509.50 and 74,139.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,509.50 : 74,139.75 = 74,139.75 : x
2. Step 2: Convert to fraction form
   47,509.50/74,139.75 = 74,139.75/x
3. Step 3: Cross multiply
   47,509.50x = 74,139.75 × 74,139.75
4. Step 4: Simplify right side
   47,509.50x = 5,496,702,530.06
5. Step 5: Solve for x
   x = 5,496,702,530.06/47,509.50
6. Step 6: Final answer
   x = 115,696.91