Finding the Third Proportional to 9,929.78 and 13,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,929.78 : 13,916.50 = 13,916.50 : x
2. Step 2: Convert to fraction form
   9,929.78/13,916.50 = 13,916.50/x
3. Step 3: Cross multiply
   9,929.78x = 13,916.50 × 13,916.50
4. Step 4: Simplify right side
   9,929.78x = 193,668,863.53
5. Step 5: Solve for x
   x = 193,668,863.53/9,929.78
6. Step 6: Final answer
   x = 19,503.85