Finding the Third Proportional to 14,658 and 32,074

Step by Step Solution

1. Step 1: Write the proportion equation
   14,658 : 32,074 = 32,074 : x
2. Step 2: Convert to fraction form
   14,658/32,074 = 32,074/x
3. Step 3: Cross multiply
   14,658x = 32,074 × 32,074
4. Step 4: Simplify right side
   14,658x = 1,028,741,476
5. Step 5: Solve for x
   x = 1,028,741,476/14,658
6. Step 6: Final answer
   x = 70,182.94