Finding the Third Proportional to 32,454 and 47,404

Step by Step Solution

1. Step 1: Write the proportion equation
   32,454 : 47,404 = 47,404 : x
2. Step 2: Convert to fraction form
   32,454/47,404 = 47,404/x
3. Step 3: Cross multiply
   32,454x = 47,404 × 47,404
4. Step 4: Simplify right side
   32,454x = 2,247,139,216
5. Step 5: Solve for x
   x = 2,247,139,216/32,454
6. Step 6: Final answer
   x = 69,240.75