Finding the Third Proportional to 1,748.39 and 3,699.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.39 : 3,699.28 = 3,699.28 : x
2. Step 2: Convert to fraction form
   1,748.39/3,699.28 = 3,699.28/x
3. Step 3: Cross multiply
   1,748.39x = 3,699.28 × 3,699.28
4. Step 4: Simplify right side
   1,748.39x = 13,684,681.77
5. Step 5: Solve for x
   x = 13,684,681.77/1,748.39
6. Step 6: Final answer
   x = 7,827.02