Finding the Third Proportional to 14,797 and 32,205

Step by Step Solution

1. Step 1: Write the proportion equation
   14,797 : 32,205 = 32,205 : x
2. Step 2: Convert to fraction form
   14,797/32,205 = 32,205/x
3. Step 3: Cross multiply
   14,797x = 32,205 × 32,205
4. Step 4: Simplify right side
   14,797x = 1,037,162,025
5. Step 5: Solve for x
   x = 1,037,162,025/14,797
6. Step 6: Final answer
   x = 70,092.72