Finding the Third Proportional to 31,430 and 72,743

Step by Step Solution

1. Step 1: Write the proportion equation
   31,430 : 72,743 = 72,743 : x
2. Step 2: Convert to fraction form
   31,430/72,743 = 72,743/x
3. Step 3: Cross multiply
   31,430x = 72,743 × 72,743
4. Step 4: Simplify right side
   31,430x = 5,291,544,049
5. Step 5: Solve for x
   x = 5,291,544,049/31,430
6. Step 6: Final answer
   x = 168,359.66