Finding the Third Proportional to 31,680 and 43,200

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 43,200 = 43,200 : x
2. Step 2: Convert to fraction form
   31,680/43,200 = 43,200/x
3. Step 3: Cross multiply
   31,680x = 43,200 × 43,200
4. Step 4: Simplify right side
   31,680x = 1,866,240,000
5. Step 5: Solve for x
   x = 1,866,240,000/31,680
6. Step 6: Final answer
   x = 58,909.09