Finding the Third Proportional to 31,802 and 69,064

Step by Step Solution

1. Step 1: Write the proportion equation
   31,802 : 69,064 = 69,064 : x
2. Step 2: Convert to fraction form
   31,802/69,064 = 69,064/x
3. Step 3: Cross multiply
   31,802x = 69,064 × 69,064
4. Step 4: Simplify right side
   31,802x = 4,769,836,096
5. Step 5: Solve for x
   x = 4,769,836,096/31,802
6. Step 6: Final answer
   x = 149,985.41