Finding the Third Proportional to 3,675.50 and 7,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,675.50 : 7,166.50 = 7,166.50 : x
2. Step 2: Convert to fraction form
   3,675.50/7,166.50 = 7,166.50/x
3. Step 3: Cross multiply
   3,675.50x = 7,166.50 × 7,166.50
4. Step 4: Simplify right side
   3,675.50x = 51,358,722.25
5. Step 5: Solve for x
   x = 51,358,722.25/3,675.50
6. Step 6: Final answer
   x = 13,973.26