Finding the Third Proportional to 5,301 and 10,120

Step by Step Solution

1. Step 1: Write the proportion equation
   5,301 : 10,120 = 10,120 : x
2. Step 2: Convert to fraction form
   5,301/10,120 = 10,120/x
3. Step 3: Cross multiply
   5,301x = 10,120 × 10,120
4. Step 4: Simplify right side
   5,301x = 102,414,400
5. Step 5: Solve for x
   x = 102,414,400/5,301
6. Step 6: Final answer
   x = 19,319.83