Finding the Third Proportional to 37,978 and 55,495

Step by Step Solution

1. Step 1: Write the proportion equation
   37,978 : 55,495 = 55,495 : x
2. Step 2: Convert to fraction form
   37,978/55,495 = 55,495/x
3. Step 3: Cross multiply
   37,978x = 55,495 × 55,495
4. Step 4: Simplify right side
   37,978x = 3,079,695,025
5. Step 5: Solve for x
   x = 3,079,695,025/37,978
6. Step 6: Final answer
   x = 81,091.55