Finding the Third Proportional to 37,821 and 81,978

Step by Step Solution

1. Step 1: Write the proportion equation
   37,821 : 81,978 = 81,978 : x
2. Step 2: Convert to fraction form
   37,821/81,978 = 81,978/x
3. Step 3: Cross multiply
   37,821x = 81,978 × 81,978
4. Step 4: Simplify right side
   37,821x = 6,720,392,484
5. Step 5: Solve for x
   x = 6,720,392,484/37,821
6. Step 6: Final answer
   x = 177,689.44