Finding the Third Proportional to 31,582 and 72,924

Step by Step Solution

1. Step 1: Write the proportion equation
   31,582 : 72,924 = 72,924 : x
2. Step 2: Convert to fraction form
   31,582/72,924 = 72,924/x
3. Step 3: Cross multiply
   31,582x = 72,924 × 72,924
4. Step 4: Simplify right side
   31,582x = 5,317,909,776
5. Step 5: Solve for x
   x = 5,317,909,776/31,582
6. Step 6: Final answer
   x = 168,384.20