Finding the Third Proportional to 31,124 and 71,978

Step by Step Solution

1. Step 1: Write the proportion equation
   31,124 : 71,978 = 71,978 : x
2. Step 2: Convert to fraction form
   31,124/71,978 = 71,978/x
3. Step 3: Cross multiply
   31,124x = 71,978 × 71,978
4. Step 4: Simplify right side
   31,124x = 5,180,832,484
5. Step 5: Solve for x
   x = 5,180,832,484/31,124
6. Step 6: Final answer
   x = 166,457.80