Finding the Third Proportional to 14,564.81 and 21,839.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14,564.81 : 21,839.63 = 21,839.63 : x
2. Step 2: Convert to fraction form
   14,564.81/21,839.63 = 21,839.63/x
3. Step 3: Cross multiply
   14,564.81x = 21,839.63 × 21,839.63
4. Step 4: Simplify right side
   14,564.81x = 476,969,220.14
5. Step 5: Solve for x
   x = 476,969,220.14/14,564.81
6. Step 6: Final answer
   x = 32,748.05