Finding the Third Proportional to 5,643 and 13,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,643 : 13,078.50 = 13,078.50 : x
2. Step 2: Convert to fraction form
   5,643/13,078.50 = 13,078.50/x
3. Step 3: Cross multiply
   5,643x = 13,078.50 × 13,078.50
4. Step 4: Simplify right side
   5,643x = 171,047,162.25
5. Step 5: Solve for x
   x = 171,047,162.25/5,643
6. Step 6: Final answer
   x = 30,311.39