Finding the Third Proportional to 7,701 and 10,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,701 : 10,453.50 = 10,453.50 : x
2. Step 2: Convert to fraction form
   7,701/10,453.50 = 10,453.50/x
3. Step 3: Cross multiply
   7,701x = 10,453.50 × 10,453.50
4. Step 4: Simplify right side
   7,701x = 109,275,662.25
5. Step 5: Solve for x
   x = 109,275,662.25/7,701
6. Step 6: Final answer
   x = 14,189.80