Finding the Third Proportional to 21,411 and 31,998.38

Step by Step Solution

1. Step 1: Write the proportion equation
   21,411 : 31,998.38 = 31,998.38 : x
2. Step 2: Convert to fraction form
   21,411/31,998.38 = 31,998.38/x
3. Step 3: Cross multiply
   21,411x = 31,998.38 × 31,998.38
4. Step 4: Simplify right side
   21,411x = 1,023,896,002.64
5. Step 5: Solve for x
   x = 1,023,896,002.64/21,411
6. Step 6: Final answer
   x = 47,821.03