Finding the Third Proportional to 5,314 and 10,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,314 : 10,495.50 = 10,495.50 : x
2. Step 2: Convert to fraction form
   5,314/10,495.50 = 10,495.50/x
3. Step 3: Cross multiply
   5,314x = 10,495.50 × 10,495.50
4. Step 4: Simplify right side
   5,314x = 110,155,520.25
5. Step 5: Solve for x
   x = 110,155,520.25/5,314
6. Step 6: Final answer
   x = 20,729.30