Finding the Third Proportional to 759.94 and 1,656.56

Step by Step Solution

1. Step 1: Write the proportion equation
   759.94 : 1,656.56 = 1,656.56 : x
2. Step 2: Convert to fraction form
   759.94/1,656.56 = 1,656.56/x
3. Step 3: Cross multiply
   759.94x = 1,656.56 × 1,656.56
4. Step 4: Simplify right side
   759.94x = 2,744,199.32
5. Step 5: Solve for x
   x = 2,744,199.32/759.94
6. Step 6: Final answer
   x = 3,611.09