Finding the Third Proportional to 21,419 and 32,010

Step by Step Solution

1. Step 1: Write the proportion equation
   21,419 : 32,010 = 32,010 : x
2. Step 2: Convert to fraction form
   21,419/32,010 = 32,010/x
3. Step 3: Cross multiply
   21,419x = 32,010 × 32,010
4. Step 4: Simplify right side
   21,419x = 1,024,640,100
5. Step 5: Solve for x
   x = 1,024,640,100/21,419
6. Step 6: Final answer
   x = 47,837.91