Finding the Third Proportional to 5,290 and 10,100

Step by Step Solution

1. Step 1: Write the proportion equation
   5,290 : 10,100 = 10,100 : x
2. Step 2: Convert to fraction form
   5,290/10,100 = 10,100/x
3. Step 3: Cross multiply
   5,290x = 10,100 × 10,100
4. Step 4: Simplify right side
   5,290x = 102,010,000
5. Step 5: Solve for x
   x = 102,010,000/5,290
6. Step 6: Final answer
   x = 19,283.55