Finding the Third Proportional to 12,465.75 and 27,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,465.75 : 27,277.50 = 27,277.50 : x
2. Step 2: Convert to fraction form
   12,465.75/27,277.50 = 27,277.50/x
3. Step 3: Cross multiply
   12,465.75x = 27,277.50 × 27,277.50
4. Step 4: Simplify right side
   12,465.75x = 744,062,006.25
5. Step 5: Solve for x
   x = 744,062,006.25/12,465.75
6. Step 6: Final answer
   x = 59,688.51