Finding the Third Proportional to 47,946 and 75,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,946 : 75,049.50 = 75,049.50 : x
2. Step 2: Convert to fraction form
   47,946/75,049.50 = 75,049.50/x
3. Step 3: Cross multiply
   47,946x = 75,049.50 × 75,049.50
4. Step 4: Simplify right side
   47,946x = 5,632,427,450.25
5. Step 5: Solve for x
   x = 5,632,427,450.25/47,946
6. Step 6: Final answer
   x = 117,474.40