Finding the Third Proportional to 12,758 and 27,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,758 : 27,468.50 = 27,468.50 : x
2. Step 2: Convert to fraction form
   12,758/27,468.50 = 27,468.50/x
3. Step 3: Cross multiply
   12,758x = 27,468.50 × 27,468.50
4. Step 4: Simplify right side
   12,758x = 754,518,492.25
5. Step 5: Solve for x
   x = 754,518,492.25/12,758
6. Step 6: Final answer
   x = 59,140.81