Finding the Third Proportional to 40,747 and 64,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,747 : 64,836.50 = 64,836.50 : x
2. Step 2: Convert to fraction form
   40,747/64,836.50 = 64,836.50/x
3. Step 3: Cross multiply
   40,747x = 64,836.50 × 64,836.50
4. Step 4: Simplify right side
   40,747x = 4,203,771,732.25
5. Step 5: Solve for x
   x = 4,203,771,732.25/40,747
6. Step 6: Final answer
   x = 103,167.64