Finding the Third Proportional to 6,434 and 13,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,434 : 13,916.50 = 13,916.50 : x
2. Step 2: Convert to fraction form
   6,434/13,916.50 = 13,916.50/x
3. Step 3: Cross multiply
   6,434x = 13,916.50 × 13,916.50
4. Step 4: Simplify right side
   6,434x = 193,668,972.25
5. Step 5: Solve for x
   x = 193,668,972.25/6,434
6. Step 6: Final answer
   x = 30,100.87