Finding the Third Proportional to 493.50 and 1,070

Step by Step Solution

1. Step 1: Write the proportion equation
   493.50 : 1,070 = 1,070 : x
2. Step 2: Convert to fraction form
   493.50/1,070 = 1,070/x
3. Step 3: Cross multiply
   493.50x = 1,070 × 1,070
4. Step 4: Simplify right side
   493.50x = 1,144,900
5. Step 5: Solve for x
   x = 1,144,900/493.50
6. Step 6: Final answer
   x = 2,319.96