Finding the Third Proportional to 14,786 and 32,314

Step by Step Solution

1. Step 1: Write the proportion equation
   14,786 : 32,314 = 32,314 : x
2. Step 2: Convert to fraction form
   14,786/32,314 = 32,314/x
3. Step 3: Cross multiply
   14,786x = 32,314 × 32,314
4. Step 4: Simplify right side
   14,786x = 1,044,194,596
5. Step 5: Solve for x
   x = 1,044,194,596/14,786
6. Step 6: Final answer
   x = 70,620.49