Finding the Third Proportional to 10,200.94 and 13,658.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200.94 : 13,658.63 = 13,658.63 : x
2. Step 2: Convert to fraction form
   10,200.94/13,658.63 = 13,658.63/x
3. Step 3: Cross multiply
   10,200.94x = 13,658.63 × 13,658.63
4. Step 4: Simplify right side
   10,200.94x = 186,558,036.89
5. Step 5: Solve for x
   x = 186,558,036.89/10,200.94
6. Step 6: Final answer
   x = 18,288.32