Finding the Third Proportional to 31,802 and 68,908

Step by Step Solution

1. Step 1: Write the proportion equation
   31,802 : 68,908 = 68,908 : x
2. Step 2: Convert to fraction form
   31,802/68,908 = 68,908/x
3. Step 3: Cross multiply
   31,802x = 68,908 × 68,908
4. Step 4: Simplify right side
   31,802x = 4,748,312,464
5. Step 5: Solve for x
   x = 4,748,312,464/31,802
6. Step 6: Final answer
   x = 149,308.61