Finding the Third Proportional to 37,795 and 56,495

Step by Step Solution

1. Step 1: Write the proportion equation
   37,795 : 56,495 = 56,495 : x
2. Step 2: Convert to fraction form
   37,795/56,495 = 56,495/x
3. Step 3: Cross multiply
   37,795x = 56,495 × 56,495
4. Step 4: Simplify right side
   37,795x = 3,191,685,025
5. Step 5: Solve for x
   x = 3,191,685,025/37,795
6. Step 6: Final answer
   x = 84,447.28