Finding the Third Proportional to 43,827 and 71,205

Step by Step Solution

1. Step 1: Write the proportion equation
   43,827 : 71,205 = 71,205 : x
2. Step 2: Convert to fraction form
   43,827/71,205 = 71,205/x
3. Step 3: Cross multiply
   43,827x = 71,205 × 71,205
4. Step 4: Simplify right side
   43,827x = 5,070,152,025
5. Step 5: Solve for x
   x = 5,070,152,025/43,827
6. Step 6: Final answer
   x = 115,685.58