Finding the Third Proportional to 5,188 and 10,076

Step by Step Solution

1. Step 1: Write the proportion equation
   5,188 : 10,076 = 10,076 : x
2. Step 2: Convert to fraction form
   5,188/10,076 = 10,076/x
3. Step 3: Cross multiply
   5,188x = 10,076 × 10,076
4. Step 4: Simplify right side
   5,188x = 101,525,776
5. Step 5: Solve for x
   x = 101,525,776/5,188
6. Step 6: Final answer
   x = 19,569.35