Finding the Third Proportional to 5,887.69 and 9,036.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,887.69 : 9,036.56 = 9,036.56 : x
2. Step 2: Convert to fraction form
   5,887.69/9,036.56 = 9,036.56/x
3. Step 3: Cross multiply
   5,887.69x = 9,036.56 × 9,036.56
4. Step 4: Simplify right side
   5,887.69x = 81,659,461.82
5. Step 5: Solve for x
   x = 81,659,461.82/5,887.69
6. Step 6: Final answer
   x = 13,869.53