Finding the Third Proportional to 5,156 and 7,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,156 : 7,758.50 = 7,758.50 : x
2. Step 2: Convert to fraction form
   5,156/7,758.50 = 7,758.50/x
3. Step 3: Cross multiply
   5,156x = 7,758.50 × 7,758.50
4. Step 4: Simplify right side
   5,156x = 60,194,322.25
5. Step 5: Solve for x
   x = 60,194,322.25/5,156
6. Step 6: Final answer
   x = 11,674.62