Finding the Third Proportional to 5,564.81 and 13,136.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,564.81 : 13,136.34 = 13,136.34 : x
2. Step 2: Convert to fraction form
   5,564.81/13,136.34 = 13,136.34/x
3. Step 3: Cross multiply
   5,564.81x = 13,136.34 × 13,136.34
4. Step 4: Simplify right side
   5,564.81x = 172,563,527.12
5. Step 5: Solve for x
   x = 172,563,527.12/5,564.81
6. Step 6: Final answer
   x = 31,009.76