Finding the Third Proportional to 31,866 and 69,321

Step by Step Solution

1. Step 1: Write the proportion equation
   31,866 : 69,321 = 69,321 : x
2. Step 2: Convert to fraction form
   31,866/69,321 = 69,321/x
3. Step 3: Cross multiply
   31,866x = 69,321 × 69,321
4. Step 4: Simplify right side
   31,866x = 4,805,401,041
5. Step 5: Solve for x
   x = 4,805,401,041/31,866
6. Step 6: Final answer
   x = 150,800.26