Finding the Third Proportional to 12,784 and 27,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 27,344.50 = 27,344.50 : x
2. Step 2: Convert to fraction form
   12,784/27,344.50 = 27,344.50/x
3. Step 3: Cross multiply
   12,784x = 27,344.50 × 27,344.50
4. Step 4: Simplify right side
   12,784x = 747,721,680.25
5. Step 5: Solve for x
   x = 747,721,680.25/12,784
6. Step 6: Final answer
   x = 58,488.87