Finding the Third Proportional to 71,381 and 111,024

Step by Step Solution

1. Step 1: Write the proportion equation
   71,381 : 111,024 = 111,024 : x
2. Step 2: Convert to fraction form
   71,381/111,024 = 111,024/x
3. Step 3: Cross multiply
   71,381x = 111,024 × 111,024
4. Step 4: Simplify right side
   71,381x = 12,326,328,576
5. Step 5: Solve for x
   x = 12,326,328,576/71,381
6. Step 6: Final answer
   x = 172,683.61