Finding the Third Proportional to 1,069.88 and 1,706.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,069.88 : 1,706.06 = 1,706.06 : x
2. Step 2: Convert to fraction form
   1,069.88/1,706.06 = 1,706.06/x
3. Step 3: Cross multiply
   1,069.88x = 1,706.06 × 1,706.06
4. Step 4: Simplify right side
   1,069.88x = 2,910,649.25
5. Step 5: Solve for x
   x = 2,910,649.25/1,069.88
6. Step 6: Final answer
   x = 2,720.55