Finding the Third Proportional to 31,737 and 69,306

Step by Step Solution

1. Step 1: Write the proportion equation
   31,737 : 69,306 = 69,306 : x
2. Step 2: Convert to fraction form
   31,737/69,306 = 69,306/x
3. Step 3: Cross multiply
   31,737x = 69,306 × 69,306
4. Step 4: Simplify right side
   31,737x = 4,803,321,636
5. Step 5: Solve for x
   x = 4,803,321,636/31,737
6. Step 6: Final answer
   x = 151,347.69