Finding the Third Proportional to 30,002 and 64,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   30,002 : 64,816.50 = 64,816.50 : x
2. Step 2: Convert to fraction form
   30,002/64,816.50 = 64,816.50/x
3. Step 3: Cross multiply
   30,002x = 64,816.50 × 64,816.50
4. Step 4: Simplify right side
   30,002x = 4,201,178,672.25
5. Step 5: Solve for x
   x = 4,201,178,672.25/30,002
6. Step 6: Final answer
   x = 140,029.95