Finding the Third Proportional to 5,577 and 10,464

Step by Step Solution

1. Step 1: Write the proportion equation
   5,577 : 10,464 = 10,464 : x
2. Step 2: Convert to fraction form
   5,577/10,464 = 10,464/x
3. Step 3: Cross multiply
   5,577x = 10,464 × 10,464
4. Step 4: Simplify right side
   5,577x = 109,495,296
5. Step 5: Solve for x
   x = 109,495,296/5,577
6. Step 6: Final answer
   x = 19,633.37