Finding the Third Proportional to 1,656.07 and 2,706.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,656.07 : 2,706.86 = 2,706.86 : x
2. Step 2: Convert to fraction form
   1,656.07/2,706.86 = 2,706.86/x
3. Step 3: Cross multiply
   1,656.07x = 2,706.86 × 2,706.86
4. Step 4: Simplify right side
   1,656.07x = 7,327,066.53
5. Step 5: Solve for x
   x = 7,327,066.53/1,656.07
6. Step 6: Final answer
   x = 4,424.37