Finding the Third Proportional to 35,194 and 74,960

Step by Step Solution

1. Step 1: Write the proportion equation
   35,194 : 74,960 = 74,960 : x
2. Step 2: Convert to fraction form
   35,194/74,960 = 74,960/x
3. Step 3: Cross multiply
   35,194x = 74,960 × 74,960
4. Step 4: Simplify right side
   35,194x = 5,619,001,600
5. Step 5: Solve for x
   x = 5,619,001,600/35,194
6. Step 6: Final answer
   x = 159,657.94