Finding the Third Proportional to 31,074 and 67,664

Step by Step Solution

1. Step 1: Write the proportion equation
   31,074 : 67,664 = 67,664 : x
2. Step 2: Convert to fraction form
   31,074/67,664 = 67,664/x
3. Step 3: Cross multiply
   31,074x = 67,664 × 67,664
4. Step 4: Simplify right side
   31,074x = 4,578,416,896
5. Step 5: Solve for x
   x = 4,578,416,896/31,074
6. Step 6: Final answer
   x = 147,339.15