Finding the Third Proportional to 37,787 and 56,483

Step by Step Solution

1. Step 1: Write the proportion equation
   37,787 : 56,483 = 56,483 : x
2. Step 2: Convert to fraction form
   37,787/56,483 = 56,483/x
3. Step 3: Cross multiply
   37,787x = 56,483 × 56,483
4. Step 4: Simplify right side
   37,787x = 3,190,329,289
5. Step 5: Solve for x
   x = 3,190,329,289/37,787
6. Step 6: Final answer
   x = 84,429.28