Finding the Third Proportional to 37,776 and 56,682

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 56,682 = 56,682 : x
2. Step 2: Convert to fraction form
   37,776/56,682 = 56,682/x
3. Step 3: Cross multiply
   37,776x = 56,682 × 56,682
4. Step 4: Simplify right side
   37,776x = 3,212,849,124
5. Step 5: Solve for x
   x = 3,212,849,124/37,776
6. Step 6: Final answer
   x = 85,050.01