Finding the Third Proportional to 31,205 and 67,594

Step by Step Solution

1. Step 1: Write the proportion equation
   31,205 : 67,594 = 67,594 : x
2. Step 2: Convert to fraction form
   31,205/67,594 = 67,594/x
3. Step 3: Cross multiply
   31,205x = 67,594 × 67,594
4. Step 4: Simplify right side
   31,205x = 4,568,948,836
5. Step 5: Solve for x
   x = 4,568,948,836/31,205
6. Step 6: Final answer
   x = 146,417.20