Finding the Third Proportional to 31,599 and 67,086

Step by Step Solution

1. Step 1: Write the proportion equation
   31,599 : 67,086 = 67,086 : x
2. Step 2: Convert to fraction form
   31,599/67,086 = 67,086/x
3. Step 3: Cross multiply
   31,599x = 67,086 × 67,086
4. Step 4: Simplify right side
   31,599x = 4,500,531,396
5. Step 5: Solve for x
   x = 4,500,531,396/31,599
6. Step 6: Final answer
   x = 142,426.39