Finding the Third Proportional to 35,258 and 74,152

Step by Step Solution

1. Step 1: Write the proportion equation
   35,258 : 74,152 = 74,152 : x
2. Step 2: Convert to fraction form
   35,258/74,152 = 74,152/x
3. Step 3: Cross multiply
   35,258x = 74,152 × 74,152
4. Step 4: Simplify right side
   35,258x = 5,498,519,104
5. Step 5: Solve for x
   x = 5,498,519,104/35,258
6. Step 6: Final answer
   x = 155,950.96