Finding the Third Proportional to 37,769 and 58,278

Step by Step Solution

1. Step 1: Write the proportion equation
   37,769 : 58,278 = 58,278 : x
2. Step 2: Convert to fraction form
   37,769/58,278 = 58,278/x
3. Step 3: Cross multiply
   37,769x = 58,278 × 58,278
4. Step 4: Simplify right side
   37,769x = 3,396,325,284
5. Step 5: Solve for x
   x = 3,396,325,284/37,769
6. Step 6: Final answer
   x = 89,923.62