Finding the Third Proportional to 12,820.50 and 27,560.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,820.50 : 27,560.25 = 27,560.25 : x
2. Step 2: Convert to fraction form
   12,820.50/27,560.25 = 27,560.25/x
3. Step 3: Cross multiply
   12,820.50x = 27,560.25 × 27,560.25
4. Step 4: Simplify right side
   12,820.50x = 759,567,380.06
5. Step 5: Solve for x
   x = 759,567,380.06/12,820.50
6. Step 6: Final answer
   x = 59,246.31