Finding the Third Proportional to 22,664 and 32,648

Step by Step Solution

1. Step 1: Write the proportion equation
   22,664 : 32,648 = 32,648 : x
2. Step 2: Convert to fraction form
   22,664/32,648 = 32,648/x
3. Step 3: Cross multiply
   22,664x = 32,648 × 32,648
4. Step 4: Simplify right side
   22,664x = 1,065,891,904
5. Step 5: Solve for x
   x = 1,065,891,904/22,664
6. Step 6: Final answer
   x = 47,030.18