Finding the Third Proportional to 6,405 and 10,025.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,405 : 10,025.63 = 10,025.63 : x
2. Step 2: Convert to fraction form
   6,405/10,025.63 = 10,025.63/x
3. Step 3: Cross multiply
   6,405x = 10,025.63 × 10,025.63
4. Step 4: Simplify right side
   6,405x = 100,513,156.64
5. Step 5: Solve for x
   x = 100,513,156.64/6,405
6. Step 6: Final answer
   x = 15,692.92