Finding the Third Proportional to 31,522 and 48,806

Step by Step Solution

1. Step 1: Write the proportion equation
   31,522 : 48,806 = 48,806 : x
2. Step 2: Convert to fraction form
   31,522/48,806 = 48,806/x
3. Step 3: Cross multiply
   31,522x = 48,806 × 48,806
4. Step 4: Simplify right side
   31,522x = 2,382,025,636
5. Step 5: Solve for x
   x = 2,382,025,636/31,522
6. Step 6: Final answer
   x = 75,567.08