Finding the Third Proportional to 12,462.75 and 27,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,462.75 : 27,166.50 = 27,166.50 : x
2. Step 2: Convert to fraction form
   12,462.75/27,166.50 = 27,166.50/x
3. Step 3: Cross multiply
   12,462.75x = 27,166.50 × 27,166.50
4. Step 4: Simplify right side
   12,462.75x = 738,018,722.25
5. Step 5: Solve for x
   x = 738,018,722.25/12,462.75
6. Step 6: Final answer
   x = 59,217.97