Finding the Third Proportional to 7,314 and 10,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,314 : 10,807.50 = 10,807.50 : x
2. Step 2: Convert to fraction form
   7,314/10,807.50 = 10,807.50/x
3. Step 3: Cross multiply
   7,314x = 10,807.50 × 10,807.50
4. Step 4: Simplify right side
   7,314x = 116,802,056.25
5. Step 5: Solve for x
   x = 116,802,056.25/7,314
6. Step 6: Final answer
   x = 15,969.65