Finding the Third Proportional to 13,582 and 32,714

Step by Step Solution

1. Step 1: Write the proportion equation
   13,582 : 32,714 = 32,714 : x
2. Step 2: Convert to fraction form
   13,582/32,714 = 32,714/x
3. Step 3: Cross multiply
   13,582x = 32,714 × 32,714
4. Step 4: Simplify right side
   13,582x = 1,070,205,796
5. Step 5: Solve for x
   x = 1,070,205,796/13,582
6. Step 6: Final answer
   x = 78,795.89