Finding the Third Proportional to 5,820.61 and 12,546.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,820.61 : 12,546.77 = 12,546.77 : x
2. Step 2: Convert to fraction form
   5,820.61/12,546.77 = 12,546.77/x
3. Step 3: Cross multiply
   5,820.61x = 12,546.77 × 12,546.77
4. Step 4: Simplify right side
   5,820.61x = 157,421,523.69
5. Step 5: Solve for x
   x = 157,421,523.69/5,820.61
6. Step 6: Final answer
   x = 27,045.54