Finding the Third Proportional to 5,109.50 and 9,490

Step by Step Solution

1. Step 1: Write the proportion equation
   5,109.50 : 9,490 = 9,490 : x
2. Step 2: Convert to fraction form
   5,109.50/9,490 = 9,490/x
3. Step 3: Cross multiply
   5,109.50x = 9,490 × 9,490
4. Step 4: Simplify right side
   5,109.50x = 90,060,100
5. Step 5: Solve for x
   x = 90,060,100/5,109.50
6. Step 6: Final answer
   x = 17,626.01