Finding the Third Proportional to 21,420 and 32,004.25

Step by Step Solution

1. Step 1: Write the proportion equation
   21,420 : 32,004.25 = 32,004.25 : x
2. Step 2: Convert to fraction form
   21,420/32,004.25 = 32,004.25/x
3. Step 3: Cross multiply
   21,420x = 32,004.25 × 32,004.25
4. Step 4: Simplify right side
   21,420x = 1,024,272,018.06
5. Step 5: Solve for x
   x = 1,024,272,018.06/21,420
6. Step 6: Final answer
   x = 47,818.49