Finding the Third Proportional to 12,277.50 and 27,275.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,277.50 : 27,275.25 = 27,275.25 : x
2. Step 2: Convert to fraction form
   12,277.50/27,275.25 = 27,275.25/x
3. Step 3: Cross multiply
   12,277.50x = 27,275.25 × 27,275.25
4. Step 4: Simplify right side
   12,277.50x = 743,939,262.56
5. Step 5: Solve for x
   x = 743,939,262.56/12,277.50
6. Step 6: Final answer
   x = 60,593.71