Finding the Third Proportional to 31,424 and 68,386

Step by Step Solution

1. Step 1: Write the proportion equation
   31,424 : 68,386 = 68,386 : x
2. Step 2: Convert to fraction form
   31,424/68,386 = 68,386/x
3. Step 3: Cross multiply
   31,424x = 68,386 × 68,386
4. Step 4: Simplify right side
   31,424x = 4,676,644,996
5. Step 5: Solve for x
   x = 4,676,644,996/31,424
6. Step 6: Final answer
   x = 148,823.99