Finding the Third Proportional to 1,313 and 3,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,313 : 3,166.50 = 3,166.50 : x
2. Step 2: Convert to fraction form
   1,313/3,166.50 = 3,166.50/x
3. Step 3: Cross multiply
   1,313x = 3,166.50 × 3,166.50
4. Step 4: Simplify right side
   1,313x = 10,026,722.25
5. Step 5: Solve for x
   x = 10,026,722.25/1,313
6. Step 6: Final answer
   x = 7,636.50