Finding the Third Proportional to 32,714 and 69,320

Step by Step Solution

1. Step 1: Write the proportion equation
   32,714 : 69,320 = 69,320 : x
2. Step 2: Convert to fraction form
   32,714/69,320 = 69,320/x
3. Step 3: Cross multiply
   32,714x = 69,320 × 69,320
4. Step 4: Simplify right side
   32,714x = 4,805,262,400
5. Step 5: Solve for x
   x = 4,805,262,400/32,714
6. Step 6: Final answer
   x = 146,887.03