Finding the Third Proportional to 926.50 and 2,271

Step by Step Solution

1. Step 1: Write the proportion equation
   926.50 : 2,271 = 2,271 : x
2. Step 2: Convert to fraction form
   926.50/2,271 = 2,271/x
3. Step 3: Cross multiply
   926.50x = 2,271 × 2,271
4. Step 4: Simplify right side
   926.50x = 5,157,441
5. Step 5: Solve for x
   x = 5,157,441/926.50
6. Step 6: Final answer
   x = 5,566.58