Finding the Third Proportional to 21,781.50 and 32,034.25

Step by Step Solution

1. Step 1: Write the proportion equation
   21,781.50 : 32,034.25 = 32,034.25 : x
2. Step 2: Convert to fraction form
   21,781.50/32,034.25 = 32,034.25/x
3. Step 3: Cross multiply
   21,781.50x = 32,034.25 × 32,034.25
4. Step 4: Simplify right side
   21,781.50x = 1,026,193,173.06
5. Step 5: Solve for x
   x = 1,026,193,173.06/21,781.50
6. Step 6: Final answer
   x = 47,113.06