Finding the Third Proportional to 32,664 and 45,864

Step by Step Solution

1. Step 1: Write the proportion equation
   32,664 : 45,864 = 45,864 : x
2. Step 2: Convert to fraction form
   32,664/45,864 = 45,864/x
3. Step 3: Cross multiply
   32,664x = 45,864 × 45,864
4. Step 4: Simplify right side
   32,664x = 2,103,506,496
5. Step 5: Solve for x
   x = 2,103,506,496/32,664
6. Step 6: Final answer
   x = 64,398.31