Finding the Third Proportional to 3,633.38 and 7,762.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,633.38 : 7,762.38 = 7,762.38 : x
2. Step 2: Convert to fraction form
   3,633.38/7,762.38 = 7,762.38/x
3. Step 3: Cross multiply
   3,633.38x = 7,762.38 × 7,762.38
4. Step 4: Simplify right side
   3,633.38x = 60,254,465.64
5. Step 5: Solve for x
   x = 60,254,465.64/3,633.38
6. Step 6: Final answer
   x = 16,583.61