Finding the Third Proportional to 31,407 and 72,357

Step by Step Solution

1. Step 1: Write the proportion equation
   31,407 : 72,357 = 72,357 : x
2. Step 2: Convert to fraction form
   31,407/72,357 = 72,357/x
3. Step 3: Cross multiply
   31,407x = 72,357 × 72,357
4. Step 4: Simplify right side
   31,407x = 5,235,535,449
5. Step 5: Solve for x
   x = 5,235,535,449/31,407
6. Step 6: Final answer
   x = 166,699.64