Finding the Third Proportional to 2,188.50 and 3,364

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.50 : 3,364 = 3,364 : x
2. Step 2: Convert to fraction form
   2,188.50/3,364 = 3,364/x
3. Step 3: Cross multiply
   2,188.50x = 3,364 × 3,364
4. Step 4: Simplify right side
   2,188.50x = 11,316,496
5. Step 5: Solve for x
   x = 11,316,496/2,188.50
6. Step 6: Final answer
   x = 5,170.89