Finding the Third Proportional to 5,823.56 and 7,758.84

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823.56 : 7,758.84 = 7,758.84 : x
2. Step 2: Convert to fraction form
   5,823.56/7,758.84 = 7,758.84/x
3. Step 3: Cross multiply
   5,823.56x = 7,758.84 × 7,758.84
4. Step 4: Simplify right side
   5,823.56x = 60,199,656.34
5. Step 5: Solve for x
   x = 60,199,656.34/5,823.56
6. Step 6: Final answer
   x = 10,337.26