Finding the Third Proportional to 37,040 and 76,546

Step by Step Solution

1. Step 1: Write the proportion equation
   37,040 : 76,546 = 76,546 : x
2. Step 2: Convert to fraction form
   37,040/76,546 = 76,546/x
3. Step 3: Cross multiply
   37,040x = 76,546 × 76,546
4. Step 4: Simplify right side
   37,040x = 5,859,290,116
5. Step 5: Solve for x
   x = 5,859,290,116/37,040
6. Step 6: Final answer
   x = 158,188.18