Finding the Third Proportional to 31,193.50 and 67,642

Step by Step Solution

1. Step 1: Write the proportion equation
   31,193.50 : 67,642 = 67,642 : x
2. Step 2: Convert to fraction form
   31,193.50/67,642 = 67,642/x
3. Step 3: Cross multiply
   31,193.50x = 67,642 × 67,642
4. Step 4: Simplify right side
   31,193.50x = 4,575,440,164
5. Step 5: Solve for x
   x = 4,575,440,164/31,193.50
6. Step 6: Final answer
   x = 146,679.28