Finding the Third Proportional to 5,196.75 and 9,914.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,196.75 : 9,914.63 = 9,914.63 : x
2. Step 2: Convert to fraction form
   5,196.75/9,914.63 = 9,914.63/x
3. Step 3: Cross multiply
   5,196.75x = 9,914.63 × 9,914.63
4. Step 4: Simplify right side
   5,196.75x = 98,299,788.89
5. Step 5: Solve for x
   x = 98,299,788.89/5,196.75
6. Step 6: Final answer
   x = 18,915.63