Finding the Third Proportional to 37,732 and 78,562

Step by Step Solution

1. Step 1: Write the proportion equation
   37,732 : 78,562 = 78,562 : x
2. Step 2: Convert to fraction form
   37,732/78,562 = 78,562/x
3. Step 3: Cross multiply
   37,732x = 78,562 × 78,562
4. Step 4: Simplify right side
   37,732x = 6,171,987,844
5. Step 5: Solve for x
   x = 6,171,987,844/37,732
6. Step 6: Final answer
   x = 163,574.36