Finding the Third Proportional to 35,913 and 77,118

Step by Step Solution

1. Step 1: Write the proportion equation
   35,913 : 77,118 = 77,118 : x
2. Step 2: Convert to fraction form
   35,913/77,118 = 77,118/x
3. Step 3: Cross multiply
   35,913x = 77,118 × 77,118
4. Step 4: Simplify right side
   35,913x = 5,947,185,924
5. Step 5: Solve for x
   x = 5,947,185,924/35,913
6. Step 6: Final answer
   x = 165,599.81