Finding the Third Proportional to 6,071.63 and 8,002.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,071.63 : 8,002.13 = 8,002.13 : x
2. Step 2: Convert to fraction form
   6,071.63/8,002.13 = 8,002.13/x
3. Step 3: Cross multiply
   6,071.63x = 8,002.13 × 8,002.13
4. Step 4: Simplify right side
   6,071.63x = 64,034,004.52
5. Step 5: Solve for x
   x = 64,034,004.52/6,071.63
6. Step 6: Final answer
   x = 10,546.44