Finding the Third Proportional to 12,822 and 27,562.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822 : 27,562.50 = 27,562.50 : x
2. Step 2: Convert to fraction form
   12,822/27,562.50 = 27,562.50/x
3. Step 3: Cross multiply
   12,822x = 27,562.50 × 27,562.50
4. Step 4: Simplify right side
   12,822x = 759,691,406.25
5. Step 5: Solve for x
   x = 759,691,406.25/12,822
6. Step 6: Final answer
   x = 59,249.06