Finding the Third Proportional to 5,527 and 10,513

Step by Step Solution

1. Step 1: Write the proportion equation
   5,527 : 10,513 = 10,513 : x
2. Step 2: Convert to fraction form
   5,527/10,513 = 10,513/x
3. Step 3: Cross multiply
   5,527x = 10,513 × 10,513
4. Step 4: Simplify right side
   5,527x = 110,523,169
5. Step 5: Solve for x
   x = 110,523,169/5,527
6. Step 6: Final answer
   x = 19,996.95