Finding the Third Proportional to 1,466.50 and 3,156.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.50 : 3,156.75 = 3,156.75 : x
2. Step 2: Convert to fraction form
   1,466.50/3,156.75 = 3,156.75/x
3. Step 3: Cross multiply
   1,466.50x = 3,156.75 × 3,156.75
4. Step 4: Simplify right side
   1,466.50x = 9,965,070.56
5. Step 5: Solve for x
   x = 9,965,070.56/1,466.50
6. Step 6: Final answer
   x = 6,795.14