Finding the Third Proportional to 23,376 and 32,880

Step by Step Solution

1. Step 1: Write the proportion equation
   23,376 : 32,880 = 32,880 : x
2. Step 2: Convert to fraction form
   23,376/32,880 = 32,880/x
3. Step 3: Cross multiply
   23,376x = 32,880 × 32,880
4. Step 4: Simplify right side
   23,376x = 1,081,094,400
5. Step 5: Solve for x
   x = 1,081,094,400/23,376
6. Step 6: Final answer
   x = 46,248.05