Finding the Third Proportional to 13,294.69 and 20,583.06

Step by Step Solution

1. Step 1: Write the proportion equation
   13,294.69 : 20,583.06 = 20,583.06 : x
2. Step 2: Convert to fraction form
   13,294.69/20,583.06 = 20,583.06/x
3. Step 3: Cross multiply
   13,294.69x = 20,583.06 × 20,583.06
4. Step 4: Simplify right side
   13,294.69x = 423,662,461.88
5. Step 5: Solve for x
   x = 423,662,461.88/13,294.69
6. Step 6: Final answer
   x = 31,867.05