Finding the Third Proportional to 6,301.69 and 13,585.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,301.69 : 13,585.47 = 13,585.47 : x
2. Step 2: Convert to fraction form
   6,301.69/13,585.47 = 13,585.47/x
3. Step 3: Cross multiply
   6,301.69x = 13,585.47 × 13,585.47
4. Step 4: Simplify right side
   6,301.69x = 184,564,961.16
5. Step 5: Solve for x
   x = 184,564,961.16/6,301.69
6. Step 6: Final answer
   x = 29,288.18