Finding the Third Proportional to 32,414 and 43,800

Step by Step Solution

1. Step 1: Write the proportion equation
   32,414 : 43,800 = 43,800 : x
2. Step 2: Convert to fraction form
   32,414/43,800 = 43,800/x
3. Step 3: Cross multiply
   32,414x = 43,800 × 43,800
4. Step 4: Simplify right side
   32,414x = 1,918,440,000
5. Step 5: Solve for x
   x = 1,918,440,000/32,414
6. Step 6: Final answer
   x = 59,185.54