Finding the Third Proportional to 21,540 and 32,180.63

Step by Step Solution

1. Step 1: Write the proportion equation
   21,540 : 32,180.63 = 32,180.63 : x
2. Step 2: Convert to fraction form
   21,540/32,180.63 = 32,180.63/x
3. Step 3: Cross multiply
   21,540x = 32,180.63 × 32,180.63
4. Step 4: Simplify right side
   21,540x = 1,035,592,625.39
5. Step 5: Solve for x
   x = 1,035,592,625.39/21,540
6. Step 6: Final answer
   x = 48,077.65