Finding the Third Proportional to 31,535 and 48,830

Step by Step Solution

1. Step 1: Write the proportion equation
   31,535 : 48,830 = 48,830 : x
2. Step 2: Convert to fraction form
   31,535/48,830 = 48,830/x
3. Step 3: Cross multiply
   31,535x = 48,830 × 48,830
4. Step 4: Simplify right side
   31,535x = 2,384,368,900
5. Step 5: Solve for x
   x = 2,384,368,900/31,535
6. Step 6: Final answer
   x = 75,610.24