Finding the Third Proportional to 1,748.63 and 3,645.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.63 : 3,645.38 = 3,645.38 : x
2. Step 2: Convert to fraction form
   1,748.63/3,645.38 = 3,645.38/x
3. Step 3: Cross multiply
   1,748.63x = 3,645.38 × 3,645.38
4. Step 4: Simplify right side
   1,748.63x = 13,288,758.89
5. Step 5: Solve for x
   x = 13,288,758.89/1,748.63
6. Step 6: Final answer
   x = 7,599.55