Finding the Third Proportional to 31,770 and 48,510

Step by Step Solution

1. Step 1: Write the proportion equation
   31,770 : 48,510 = 48,510 : x
2. Step 2: Convert to fraction form
   31,770/48,510 = 48,510/x
3. Step 3: Cross multiply
   31,770x = 48,510 × 48,510
4. Step 4: Simplify right side
   31,770x = 2,353,220,100
5. Step 5: Solve for x
   x = 2,353,220,100/31,770
6. Step 6: Final answer
   x = 74,070.51