Finding the Third Proportional to 35,406 and 74,916

Step by Step Solution

1. Step 1: Write the proportion equation
   35,406 : 74,916 = 74,916 : x
2. Step 2: Convert to fraction form
   35,406/74,916 = 74,916/x
3. Step 3: Cross multiply
   35,406x = 74,916 × 74,916
4. Step 4: Simplify right side
   35,406x = 5,612,407,056
5. Step 5: Solve for x
   x = 5,612,407,056/35,406
6. Step 6: Final answer
   x = 158,515.71