Finding the Third Proportional to 1,697.91 and 3,706.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,697.91 : 3,706.03 = 3,706.03 : x
2. Step 2: Convert to fraction form
   1,697.91/3,706.03 = 3,706.03/x
3. Step 3: Cross multiply
   1,697.91x = 3,706.03 × 3,706.03
4. Step 4: Simplify right side
   1,697.91x = 13,734,667.63
5. Step 5: Solve for x
   x = 13,734,667.63/1,697.91
6. Step 6: Final answer
   x = 8,089.18