Finding the Third Proportional to 31,642 and 69,012

Step by Step Solution

1. Step 1: Write the proportion equation
   31,642 : 69,012 = 69,012 : x
2. Step 2: Convert to fraction form
   31,642/69,012 = 69,012/x
3. Step 3: Cross multiply
   31,642x = 69,012 × 69,012
4. Step 4: Simplify right side
   31,642x = 4,762,656,144
5. Step 5: Solve for x
   x = 4,762,656,144/31,642
6. Step 6: Final answer
   x = 150,516.91