Finding the Third Proportional to 43,830 and 71,211

Step by Step Solution

1. Step 1: Write the proportion equation
   43,830 : 71,211 = 71,211 : x
2. Step 2: Convert to fraction form
   43,830/71,211 = 71,211/x
3. Step 3: Cross multiply
   43,830x = 71,211 × 71,211
4. Step 4: Simplify right side
   43,830x = 5,071,006,521
5. Step 5: Solve for x
   x = 5,071,006,521/43,830
6. Step 6: Final answer
   x = 115,697.16