Finding the Third Proportional to 2,298.19 and 3,641.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,298.19 : 3,641.06 = 3,641.06 : x
2. Step 2: Convert to fraction form
   2,298.19/3,641.06 = 3,641.06/x
3. Step 3: Cross multiply
   2,298.19x = 3,641.06 × 3,641.06
4. Step 4: Simplify right side
   2,298.19x = 13,257,336.13
5. Step 5: Solve for x
   x = 13,257,336.13/2,298.19
6. Step 6: Final answer
   x = 5,768.61