Finding the Third Proportional to 1,754.16 and 3,706.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,754.16 : 3,706.22 = 3,706.22 : x
2. Step 2: Convert to fraction form
   1,754.16/3,706.22 = 3,706.22/x
3. Step 3: Cross multiply
   1,754.16x = 3,706.22 × 3,706.22
4. Step 4: Simplify right side
   1,754.16x = 13,736,100.86
5. Step 5: Solve for x
   x = 13,736,100.86/1,754.16
6. Step 6: Final answer
   x = 7,830.60