Finding the Third Proportional to 3,126 and 5,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,126 : 5,806.50 = 5,806.50 : x
2. Step 2: Convert to fraction form
   3,126/5,806.50 = 5,806.50/x
3. Step 3: Cross multiply
   3,126x = 5,806.50 × 5,806.50
4. Step 4: Simplify right side
   3,126x = 33,715,442.25
5. Step 5: Solve for x
   x = 33,715,442.25/3,126
6. Step 6: Final answer
   x = 10,785.49