Finding the Third Proportional to 31,442 and 48,807

Step by Step Solution

1. Step 1: Write the proportion equation
   31,442 : 48,807 = 48,807 : x
2. Step 2: Convert to fraction form
   31,442/48,807 = 48,807/x
3. Step 3: Cross multiply
   31,442x = 48,807 × 48,807
4. Step 4: Simplify right side
   31,442x = 2,382,123,249
5. Step 5: Solve for x
   x = 2,382,123,249/31,442
6. Step 6: Final answer
   x = 75,762.46