Finding the Third Proportional to 10,078.50 and 11,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.50 : 11,536.50 = 11,536.50 : x
2. Step 2: Convert to fraction form
   10,078.50/11,536.50 = 11,536.50/x
3. Step 3: Cross multiply
   10,078.50x = 11,536.50 × 11,536.50
4. Step 4: Simplify right side
   10,078.50x = 133,090,832.25
5. Step 5: Solve for x
   x = 133,090,832.25/10,078.50
6. Step 6: Final answer
   x = 13,205.42