Finding the Third Proportional to 1,253.06 and 2,706.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,253.06 : 2,706.69 = 2,706.69 : x
2. Step 2: Convert to fraction form
   1,253.06/2,706.69 = 2,706.69/x
3. Step 3: Cross multiply
   1,253.06x = 2,706.69 × 2,706.69
4. Step 4: Simplify right side
   1,253.06x = 7,326,157.22
5. Step 5: Solve for x
   x = 7,326,157.22/1,253.06
6. Step 6: Final answer
   x = 5,846.60