Finding the Third Proportional to 15,084 and 32,172

Step by Step Solution

1. Step 1: Write the proportion equation
   15,084 : 32,172 = 32,172 : x
2. Step 2: Convert to fraction form
   15,084/32,172 = 32,172/x
3. Step 3: Cross multiply
   15,084x = 32,172 × 32,172
4. Step 4: Simplify right side
   15,084x = 1,035,037,584
5. Step 5: Solve for x
   x = 1,035,037,584/15,084
6. Step 6: Final answer
   x = 68,618.24