Finding the Third Proportional to 30,732 and 64,746

Step by Step Solution

1. Step 1: Write the proportion equation
   30,732 : 64,746 = 64,746 : x
2. Step 2: Convert to fraction form
   30,732/64,746 = 64,746/x
3. Step 3: Cross multiply
   30,732x = 64,746 × 64,746
4. Step 4: Simplify right side
   30,732x = 4,192,044,516
5. Step 5: Solve for x
   x = 4,192,044,516/30,732
6. Step 6: Final answer
   x = 136,406.50