Finding the Third Proportional to 2,698.50 and 3,646

Step by Step Solution

1. Step 1: Write the proportion equation
   2,698.50 : 3,646 = 3,646 : x
2. Step 2: Convert to fraction form
   2,698.50/3,646 = 3,646/x
3. Step 3: Cross multiply
   2,698.50x = 3,646 × 3,646
4. Step 4: Simplify right side
   2,698.50x = 13,293,316
5. Step 5: Solve for x
   x = 13,293,316/2,698.50
6. Step 6: Final answer
   x = 4,926.19