Finding the Third Proportional to 5,953.50 and 13,456.13

Step by Step Solution

1. Step 1: Write the proportion equation
   5,953.50 : 13,456.13 = 13,456.13 : x
2. Step 2: Convert to fraction form
   5,953.50/13,456.13 = 13,456.13/x
3. Step 3: Cross multiply
   5,953.50x = 13,456.13 × 13,456.13
4. Step 4: Simplify right side
   5,953.50x = 181,067,300.02
5. Step 5: Solve for x
   x = 181,067,300.02/5,953.50
6. Step 6: Final answer
   x = 30,413.59