Finding the Third Proportional to 1,740.47 and 2,699.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,740.47 : 2,699.16 = 2,699.16 : x
2. Step 2: Convert to fraction form
   1,740.47/2,699.16 = 2,699.16/x
3. Step 3: Cross multiply
   1,740.47x = 2,699.16 × 2,699.16
4. Step 4: Simplify right side
   1,740.47x = 7,285,444.46
5. Step 5: Solve for x
   x = 7,285,444.46/1,740.47
6. Step 6: Final answer
   x = 4,185.91