Finding the Third Proportional to 47,983.50 and 75,922.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,983.50 : 75,922.50 = 75,922.50 : x
2. Step 2: Convert to fraction form
   47,983.50/75,922.50 = 75,922.50/x
3. Step 3: Cross multiply
   47,983.50x = 75,922.50 × 75,922.50
4. Step 4: Simplify right side
   47,983.50x = 5,764,226,006.25
5. Step 5: Solve for x
   x = 5,764,226,006.25/47,983.50
6. Step 6: Final answer
   x = 120,129.34