Finding the Third Proportional to 5,087.34 and 10,564.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,087.34 : 10,564.59 = 10,564.59 : x
2. Step 2: Convert to fraction form
   5,087.34/10,564.59 = 10,564.59/x
3. Step 3: Cross multiply
   5,087.34x = 10,564.59 × 10,564.59
4. Step 4: Simplify right side
   5,087.34x = 111,610,641.10
5. Step 5: Solve for x
   x = 111,610,641.10/5,087.34
6. Step 6: Final answer
   x = 21,938.88