Finding the Third Proportional to 3,577.92 and 7,844.98

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.92 : 7,844.98 = 7,844.98 : x
2. Step 2: Convert to fraction form
   3,577.92/7,844.98 = 7,844.98/x
3. Step 3: Cross multiply
   3,577.92x = 7,844.98 × 7,844.98
4. Step 4: Simplify right side
   3,577.92x = 61,543,657.27
5. Step 5: Solve for x
   x = 61,543,657.27/3,577.92
6. Step 6: Final answer
   x = 17,200.95