Finding the Third Proportional to 5,941.69 and 13,798.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,941.69 : 13,798.69 = 13,798.69 : x
2. Step 2: Convert to fraction form
   5,941.69/13,798.69 = 13,798.69/x
3. Step 3: Cross multiply
   5,941.69x = 13,798.69 × 13,798.69
4. Step 4: Simplify right side
   5,941.69x = 190,403,776.72
5. Step 5: Solve for x
   x = 190,403,776.72/5,941.69
6. Step 6: Final answer
   x = 32,045.40