Finding the Third Proportional to 5,306.50 and 10,091

Step by Step Solution

1. Step 1: Write the proportion equation
   5,306.50 : 10,091 = 10,091 : x
2. Step 2: Convert to fraction form
   5,306.50/10,091 = 10,091/x
3. Step 3: Cross multiply
   5,306.50x = 10,091 × 10,091
4. Step 4: Simplify right side
   5,306.50x = 101,828,281
5. Step 5: Solve for x
   x = 101,828,281/5,306.50
6. Step 6: Final answer
   x = 19,189.35