Finding the Third Proportional to 37,741 and 79,978

Step by Step Solution

1. Step 1: Write the proportion equation
   37,741 : 79,978 = 79,978 : x
2. Step 2: Convert to fraction form
   37,741/79,978 = 79,978/x
3. Step 3: Cross multiply
   37,741x = 79,978 × 79,978
4. Step 4: Simplify right side
   37,741x = 6,396,480,484
5. Step 5: Solve for x
   x = 6,396,480,484/37,741
6. Step 6: Final answer
   x = 169,483.60