Finding the Third Proportional to 10,294.50 and 13,980.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.50 : 13,980.38 = 13,980.38 : x
2. Step 2: Convert to fraction form
   10,294.50/13,980.38 = 13,980.38/x
3. Step 3: Cross multiply
   10,294.50x = 13,980.38 × 13,980.38
4. Step 4: Simplify right side
   10,294.50x = 195,450,885.14
5. Step 5: Solve for x
   x = 195,450,885.14/10,294.50
6. Step 6: Final answer
   x = 18,985.95