Finding the Third Proportional to 37,732 and 78,564

Step by Step Solution

1. Step 1: Write the proportion equation
   37,732 : 78,564 = 78,564 : x
2. Step 2: Convert to fraction form
   37,732/78,564 = 78,564/x
3. Step 3: Cross multiply
   37,732x = 78,564 × 78,564
4. Step 4: Simplify right side
   37,732x = 6,172,302,096
5. Step 5: Solve for x
   x = 6,172,302,096/37,732
6. Step 6: Final answer
   x = 163,582.69