Finding the Third Proportional to 31,533 and 48,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,533 : 48,829.50 = 48,829.50 : x
2. Step 2: Convert to fraction form
   31,533/48,829.50 = 48,829.50/x
3. Step 3: Cross multiply
   31,533x = 48,829.50 × 48,829.50
4. Step 4: Simplify right side
   31,533x = 2,384,320,070.25
5. Step 5: Solve for x
   x = 2,384,320,070.25/31,533
6. Step 6: Final answer
   x = 75,613.49