Finding the Third Proportional to 5,896.13 and 13,818.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,896.13 : 13,818.94 = 13,818.94 : x
2. Step 2: Convert to fraction form
   5,896.13/13,818.94 = 13,818.94/x
3. Step 3: Cross multiply
   5,896.13x = 13,818.94 × 13,818.94
4. Step 4: Simplify right side
   5,896.13x = 190,963,033.63
5. Step 5: Solve for x
   x = 190,963,033.63/5,896.13
6. Step 6: Final answer
   x = 32,387.89