Finding the Third Proportional to 5,746.78 and 7,484.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,746.78 : 7,484.06 = 7,484.06 : x
2. Step 2: Convert to fraction form
   5,746.78/7,484.06 = 7,484.06/x
3. Step 3: Cross multiply
   5,746.78x = 7,484.06 × 7,484.06
4. Step 4: Simplify right side
   5,746.78x = 56,011,191.50
5. Step 5: Solve for x
   x = 56,011,191.50/5,746.78
6. Step 6: Final answer
   x = 9,746.53