Finding the Third Proportional to 20,506.50 and 27,704.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,506.50 : 27,704.25 = 27,704.25 : x
2. Step 2: Convert to fraction form
   20,506.50/27,704.25 = 27,704.25/x
3. Step 3: Cross multiply
   20,506.50x = 27,704.25 × 27,704.25
4. Step 4: Simplify right side
   20,506.50x = 767,525,468.06
5. Step 5: Solve for x
   x = 767,525,468.06/20,506.50
6. Step 6: Final answer
   x = 37,428.40