Finding the Third Proportional to 31,830 and 71,786

Step by Step Solution

1. Step 1: Write the proportion equation
   31,830 : 71,786 = 71,786 : x
2. Step 2: Convert to fraction form
   31,830/71,786 = 71,786/x
3. Step 3: Cross multiply
   31,830x = 71,786 × 71,786
4. Step 4: Simplify right side
   31,830x = 5,153,229,796
5. Step 5: Solve for x
   x = 5,153,229,796/31,830
6. Step 6: Final answer
   x = 161,898.52