Finding the Third Proportional to 5,172 and 7,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,172 : 7,807.50 = 7,807.50 : x
2. Step 2: Convert to fraction form
   5,172/7,807.50 = 7,807.50/x
3. Step 3: Cross multiply
   5,172x = 7,807.50 × 7,807.50
4. Step 4: Simplify right side
   5,172x = 60,957,056.25
5. Step 5: Solve for x
   x = 60,957,056.25/5,172
6. Step 6: Final answer
   x = 11,785.97