Finding the Third Proportional to 12,405 and 27,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,405 : 27,568.50 = 27,568.50 : x
2. Step 2: Convert to fraction form
   12,405/27,568.50 = 27,568.50/x
3. Step 3: Cross multiply
   12,405x = 27,568.50 × 27,568.50
4. Step 4: Simplify right side
   12,405x = 760,022,192.25
5. Step 5: Solve for x
   x = 760,022,192.25/12,405
6. Step 6: Final answer
   x = 61,267.41