Finding the Third Proportional to 35,024 and 74,970

Step by Step Solution

1. Step 1: Write the proportion equation
   35,024 : 74,970 = 74,970 : x
2. Step 2: Convert to fraction form
   35,024/74,970 = 74,970/x
3. Step 3: Cross multiply
   35,024x = 74,970 × 74,970
4. Step 4: Simplify right side
   35,024x = 5,620,500,900
5. Step 5: Solve for x
   x = 5,620,500,900/35,024
6. Step 6: Final answer
   x = 160,475.70