Finding the Third Proportional to 1,749.38 and 3,646.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,749.38 : 3,646.88 = 3,646.88 : x
2. Step 2: Convert to fraction form
   1,749.38/3,646.88 = 3,646.88/x
3. Step 3: Cross multiply
   1,749.38x = 3,646.88 × 3,646.88
4. Step 4: Simplify right side
   1,749.38x = 13,299,697.27
5. Step 5: Solve for x
   x = 13,299,697.27/1,749.38
6. Step 6: Final answer
   x = 7,602.54