Finding the Third Proportional to 31,948 and 69,420

Step by Step Solution

1. Step 1: Write the proportion equation
   31,948 : 69,420 = 69,420 : x
2. Step 2: Convert to fraction form
   31,948/69,420 = 69,420/x
3. Step 3: Cross multiply
   31,948x = 69,420 × 69,420
4. Step 4: Simplify right side
   31,948x = 4,819,136,400
5. Step 5: Solve for x
   x = 4,819,136,400/31,948
6. Step 6: Final answer
   x = 150,843.13