Finding the Third Proportional to 37,796 and 78,040

Step by Step Solution

1. Step 1: Write the proportion equation
   37,796 : 78,040 = 78,040 : x
2. Step 2: Convert to fraction form
   37,796/78,040 = 78,040/x
3. Step 3: Cross multiply
   37,796x = 78,040 × 78,040
4. Step 4: Simplify right side
   37,796x = 6,090,241,600
5. Step 5: Solve for x
   x = 6,090,241,600/37,796
6. Step 6: Final answer
   x = 161,134.55