Finding the Third Proportional to 31,584 and 72,929

Step by Step Solution

1. Step 1: Write the proportion equation
   31,584 : 72,929 = 72,929 : x
2. Step 2: Convert to fraction form
   31,584/72,929 = 72,929/x
3. Step 3: Cross multiply
   31,584x = 72,929 × 72,929
4. Step 4: Simplify right side
   31,584x = 5,318,639,041
5. Step 5: Solve for x
   x = 5,318,639,041/31,584
6. Step 6: Final answer
   x = 168,396.63