Finding the Third Proportional to 21,902 and 32,727

Step by Step Solution

1. Step 1: Write the proportion equation
   21,902 : 32,727 = 32,727 : x
2. Step 2: Convert to fraction form
   21,902/32,727 = 32,727/x
3. Step 3: Cross multiply
   21,902x = 32,727 × 32,727
4. Step 4: Simplify right side
   21,902x = 1,071,056,529
5. Step 5: Solve for x
   x = 1,071,056,529/21,902
6. Step 6: Final answer
   x = 48,902.22