Finding the Third Proportional to 7,845 and 10,507.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,845 : 10,507.50 = 10,507.50 : x
2. Step 2: Convert to fraction form
   7,845/10,507.50 = 10,507.50/x
3. Step 3: Cross multiply
   7,845x = 10,507.50 × 10,507.50
4. Step 4: Simplify right side
   7,845x = 110,407,556.25
5. Step 5: Solve for x
   x = 110,407,556.25/7,845
6. Step 6: Final answer
   x = 14,073.62