Finding the Third Proportional to 1,658.63 and 3,628.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,658.63 : 3,628.88 = 3,628.88 : x
2. Step 2: Convert to fraction form
   1,658.63/3,628.88 = 3,628.88/x
3. Step 3: Cross multiply
   1,658.63x = 3,628.88 × 3,628.88
4. Step 4: Simplify right side
   1,658.63x = 13,168,733.77
5. Step 5: Solve for x
   x = 13,168,733.77/1,658.63
6. Step 6: Final answer
   x = 7,939.55