Finding the Third Proportional to 1,746.56 and 3,663.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.56 : 3,663.98 = 3,663.98 : x
2. Step 2: Convert to fraction form
   1,746.56/3,663.98 = 3,663.98/x
3. Step 3: Cross multiply
   1,746.56x = 3,663.98 × 3,663.98
4. Step 4: Simplify right side
   1,746.56x = 13,424,781.50
5. Step 5: Solve for x
   x = 13,424,781.50/1,746.56
6. Step 6: Final answer
   x = 7,686.40