Finding the Third Proportional to 5,897.81 and 12,820.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,897.81 : 12,820.78 = 12,820.78 : x
2. Step 2: Convert to fraction form
   5,897.81/12,820.78 = 12,820.78/x
3. Step 3: Cross multiply
   5,897.81x = 12,820.78 × 12,820.78
4. Step 4: Simplify right side
   5,897.81x = 164,372,431.86
5. Step 5: Solve for x
   x = 164,372,431.86/5,897.81
6. Step 6: Final answer
   x = 27,870.07