Finding the Third Proportional to 5,898 and 10,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,898 : 10,864.50 = 10,864.50 : x
2. Step 2: Convert to fraction form
   5,898/10,864.50 = 10,864.50/x
3. Step 3: Cross multiply
   5,898x = 10,864.50 × 10,864.50
4. Step 4: Simplify right side
   5,898x = 118,037,360.25
5. Step 5: Solve for x
   x = 118,037,360.25/5,898
6. Step 6: Final answer
   x = 20,013.12