Finding the Third Proportional to 37,932 and 82,776

Step by Step Solution

1. Step 1: Write the proportion equation
   37,932 : 82,776 = 82,776 : x
2. Step 2: Convert to fraction form
   37,932/82,776 = 82,776/x
3. Step 3: Cross multiply
   37,932x = 82,776 × 82,776
4. Step 4: Simplify right side
   37,932x = 6,851,866,176
5. Step 5: Solve for x
   x = 6,851,866,176/37,932
6. Step 6: Final answer
   x = 180,635.51