Finding the Third Proportional to 559.83 and 760.01

Step by Step Solution

1. Step 1: Write the proportion equation
   559.83 : 760.01 = 760.01 : x
2. Step 2: Convert to fraction form
   559.83/760.01 = 760.01/x
3. Step 3: Cross multiply
   559.83x = 760.01 × 760.01
4. Step 4: Simplify right side
   559.83x = 577,611.88
5. Step 5: Solve for x
   x = 577,611.88/559.83
6. Step 6: Final answer
   x = 1,031.77