Finding the Third Proportional to 5,184 and 10,499.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,184 : 10,499.63 = 10,499.63 : x
2. Step 2: Convert to fraction form
   5,184/10,499.63 = 10,499.63/x
3. Step 3: Cross multiply
   5,184x = 10,499.63 × 10,499.63
4. Step 4: Simplify right side
   5,184x = 110,242,125.14
5. Step 5: Solve for x
   x = 110,242,125.14/5,184
6. Step 6: Final answer
   x = 21,265.84