Finding the Third Proportional to 5,596.59 and 7,844.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,596.59 : 7,844.34 = 7,844.34 : x
2. Step 2: Convert to fraction form
   5,596.59/7,844.34 = 7,844.34/x
3. Step 3: Cross multiply
   5,596.59x = 7,844.34 × 7,844.34
4. Step 4: Simplify right side
   5,596.59x = 61,533,728.87
5. Step 5: Solve for x
   x = 61,533,728.87/5,596.59
6. Step 6: Final answer
   x = 10,994.85