Finding the Third Proportional to 6.45 and 10.00

Step by Step Solution

1. Step 1: Write the proportion equation
   6.45 : 10.00 = 10.00 : x
2. Step 2: Convert to fraction form
   6.45/10.00 = 10.00/x
3. Step 3: Cross multiply
   6.45x = 10.00 × 10.00
4. Step 4: Simplify right side
   6.45x = 99.92
5. Step 5: Solve for x
   x = 99.92/6.45
6. Step 6: Final answer
   x = 15.50