Finding the Third Proportional to 21,872.81 and 32,347.97

Step by Step Solution

1. Step 1: Write the proportion equation
   21,872.81 : 32,347.97 = 32,347.97 : x
2. Step 2: Convert to fraction form
   21,872.81/32,347.97 = 32,347.97/x
3. Step 3: Cross multiply
   21,872.81x = 32,347.97 × 32,347.97
4. Step 4: Simplify right side
   21,872.81x = 1,046,391,082.25
5. Step 5: Solve for x
   x = 1,046,391,082.25/21,872.81
6. Step 6: Final answer
   x = 47,839.80