Finding the Third Proportional to 12,813.75 and 27,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,813.75 : 27,538.50 = 27,538.50 : x
2. Step 2: Convert to fraction form
   12,813.75/27,538.50 = 27,538.50/x
3. Step 3: Cross multiply
   12,813.75x = 27,538.50 × 27,538.50
4. Step 4: Simplify right side
   12,813.75x = 758,368,982.25
5. Step 5: Solve for x
   x = 758,368,982.25/12,813.75
6. Step 6: Final answer
   x = 59,184.00