Finding the Third Proportional to 32,186 and 67,314

Step by Step Solution

1. Step 1: Write the proportion equation
   32,186 : 67,314 = 67,314 : x
2. Step 2: Convert to fraction form
   32,186/67,314 = 67,314/x
3. Step 3: Cross multiply
   32,186x = 67,314 × 67,314
4. Step 4: Simplify right side
   32,186x = 4,531,174,596
5. Step 5: Solve for x
   x = 4,531,174,596/32,186
6. Step 6: Final answer
   x = 140,780.92