Finding the Third Proportional to 35,020 and 74,962

Step by Step Solution

1. Step 1: Write the proportion equation
   35,020 : 74,962 = 74,962 : x
2. Step 2: Convert to fraction form
   35,020/74,962 = 74,962/x
3. Step 3: Cross multiply
   35,020x = 74,962 × 74,962
4. Step 4: Simplify right side
   35,020x = 5,619,301,444
5. Step 5: Solve for x
   x = 5,619,301,444/35,020
6. Step 6: Final answer
   x = 160,459.78