Finding the Third Proportional to 3,102.05 and 3,364.03

Step by Step Solution

1. Step 1: Write the proportion equation
   3,102.05 : 3,364.03 = 3,364.03 : x
2. Step 2: Convert to fraction form
   3,102.05/3,364.03 = 3,364.03/x
3. Step 3: Cross multiply
   3,102.05x = 3,364.03 × 3,364.03
4. Step 4: Simplify right side
   3,102.05x = 11,316,706.25
5. Step 5: Solve for x
   x = 11,316,706.25/3,102.05
6. Step 6: Final answer
   x = 3,648.14