Finding the Third Proportional to 31,840 and 69,210

Step by Step Solution

1. Step 1: Write the proportion equation
   31,840 : 69,210 = 69,210 : x
2. Step 2: Convert to fraction form
   31,840/69,210 = 69,210/x
3. Step 3: Cross multiply
   31,840x = 69,210 × 69,210
4. Step 4: Simplify right side
   31,840x = 4,790,024,100
5. Step 5: Solve for x
   x = 4,790,024,100/31,840
6. Step 6: Final answer
   x = 150,440.46