Finding the Third Proportional to 42,002 and 64,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,002 : 64,986.50 = 64,986.50 : x
2. Step 2: Convert to fraction form
   42,002/64,986.50 = 64,986.50/x
3. Step 3: Cross multiply
   42,002x = 64,986.50 × 64,986.50
4. Step 4: Simplify right side
   42,002x = 4,223,245,182.25
5. Step 5: Solve for x
   x = 4,223,245,182.25/42,002
6. Step 6: Final answer
   x = 100,548.67