Finding the Third Proportional to 31,948 and 70,416

Step by Step Solution

1. Step 1: Write the proportion equation
   31,948 : 70,416 = 70,416 : x
2. Step 2: Convert to fraction form
   31,948/70,416 = 70,416/x
3. Step 3: Cross multiply
   31,948x = 70,416 × 70,416
4. Step 4: Simplify right side
   31,948x = 4,958,413,056
5. Step 5: Solve for x
   x = 4,958,413,056/31,948
6. Step 6: Final answer
   x = 155,202.61