Finding the Third Proportional to 5,564 and 13,710

Step by Step Solution

1. Step 1: Write the proportion equation
   5,564 : 13,710 = 13,710 : x
2. Step 2: Convert to fraction form
   5,564/13,710 = 13,710/x
3. Step 3: Cross multiply
   5,564x = 13,710 × 13,710
4. Step 4: Simplify right side
   5,564x = 187,964,100
5. Step 5: Solve for x
   x = 187,964,100/5,564
6. Step 6: Final answer
   x = 33,782.19