Finding the Third Proportional to 21,413 and 32,001

Step by Step Solution

1. Step 1: Write the proportion equation
   21,413 : 32,001 = 32,001 : x
2. Step 2: Convert to fraction form
   21,413/32,001 = 32,001/x
3. Step 3: Cross multiply
   21,413x = 32,001 × 32,001
4. Step 4: Simplify right side
   21,413x = 1,024,064,001
5. Step 5: Solve for x
   x = 1,024,064,001/21,413
6. Step 6: Final answer
   x = 47,824.41