Finding the Third Proportional to 7,386 and 10,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,386 : 10,768.50 = 10,768.50 : x
2. Step 2: Convert to fraction form
   7,386/10,768.50 = 10,768.50/x
3. Step 3: Cross multiply
   7,386x = 10,768.50 × 10,768.50
4. Step 4: Simplify right side
   7,386x = 115,960,592.25
5. Step 5: Solve for x
   x = 115,960,592.25/7,386
6. Step 6: Final answer
   x = 15,700.05