Finding the Third Proportional to 23,296 and 32,982

Step by Step Solution

1. Step 1: Write the proportion equation
   23,296 : 32,982 = 32,982 : x
2. Step 2: Convert to fraction form
   23,296/32,982 = 32,982/x
3. Step 3: Cross multiply
   23,296x = 32,982 × 32,982
4. Step 4: Simplify right side
   23,296x = 1,087,812,324
5. Step 5: Solve for x
   x = 1,087,812,324/23,296
6. Step 6: Final answer
   x = 46,695.24