Finding the Third Proportional to 5,899.50 and 8,012.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,899.50 : 8,012.25 = 8,012.25 : x
2. Step 2: Convert to fraction form
   5,899.50/8,012.25 = 8,012.25/x
3. Step 3: Cross multiply
   5,899.50x = 8,012.25 × 8,012.25
4. Step 4: Simplify right side
   5,899.50x = 64,196,150.06
5. Step 5: Solve for x
   x = 64,196,150.06/5,899.50
6. Step 6: Final answer
   x = 10,881.63