Finding the Third Proportional to 32,436 and 47,406

Step by Step Solution

1. Step 1: Write the proportion equation
   32,436 : 47,406 = 47,406 : x
2. Step 2: Convert to fraction form
   32,436/47,406 = 47,406/x
3. Step 3: Cross multiply
   32,436x = 47,406 × 47,406
4. Step 4: Simplify right side
   32,436x = 2,247,328,836
5. Step 5: Solve for x
   x = 2,247,328,836/32,436
6. Step 6: Final answer
   x = 69,285.02