Finding the Third Proportional to 6,402 and 7,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,402 : 7,009.50 = 7,009.50 : x
2. Step 2: Convert to fraction form
   6,402/7,009.50 = 7,009.50/x
3. Step 3: Cross multiply
   6,402x = 7,009.50 × 7,009.50
4. Step 4: Simplify right side
   6,402x = 49,133,090.25
5. Step 5: Solve for x
   x = 49,133,090.25/6,402
6. Step 6: Final answer
   x = 7,674.65