Finding the Third Proportional to 22,320 and 34,714

Step by Step Solution

1. Step 1: Write the proportion equation
   22,320 : 34,714 = 34,714 : x
2. Step 2: Convert to fraction form
   22,320/34,714 = 34,714/x
3. Step 3: Cross multiply
   22,320x = 34,714 × 34,714
4. Step 4: Simplify right side
   22,320x = 1,205,061,796
5. Step 5: Solve for x
   x = 1,205,061,796/22,320
6. Step 6: Final answer
   x = 53,990.22