Finding the Third Proportional to 7,861.50 and 10,496.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,861.50 : 10,496.25 = 10,496.25 : x
2. Step 2: Convert to fraction form
   7,861.50/10,496.25 = 10,496.25/x
3. Step 3: Cross multiply
   7,861.50x = 10,496.25 × 10,496.25
4. Step 4: Simplify right side
   7,861.50x = 110,171,264.06
5. Step 5: Solve for x
   x = 110,171,264.06/7,861.50
6. Step 6: Final answer
   x = 14,014.03