Finding the Third Proportional to 5,180 and 10,527

Step by Step Solution

1. Step 1: Write the proportion equation
   5,180 : 10,527 = 10,527 : x
2. Step 2: Convert to fraction form
   5,180/10,527 = 10,527/x
3. Step 3: Cross multiply
   5,180x = 10,527 × 10,527
4. Step 4: Simplify right side
   5,180x = 110,817,729
5. Step 5: Solve for x
   x = 110,817,729/5,180
6. Step 6: Final answer
   x = 21,393.38