Finding the Third Proportional to 1,936.13 and 3,706.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,936.13 : 3,706.88 = 3,706.88 : x
2. Step 2: Convert to fraction form
   1,936.13/3,706.88 = 3,706.88/x
3. Step 3: Cross multiply
   1,936.13x = 3,706.88 × 3,706.88
4. Step 4: Simplify right side
   1,936.13x = 13,740,922.27
5. Step 5: Solve for x
   x = 13,740,922.27/1,936.13
6. Step 6: Final answer
   x = 7,097.13