Finding the Third Proportional to 345.94 and 760.22

Step by Step Solution

1. Step 1: Write the proportion equation
   345.94 : 760.22 = 760.22 : x
2. Step 2: Convert to fraction form
   345.94/760.22 = 760.22/x
3. Step 3: Cross multiply
   345.94x = 760.22 × 760.22
4. Step 4: Simplify right side
   345.94x = 577,932.55
5. Step 5: Solve for x
   x = 577,932.55/345.94
6. Step 6: Final answer
   x = 1,670.63