Finding the Third Proportional to 35,633 and 76,972

Step by Step Solution

1. Step 1: Write the proportion equation
   35,633 : 76,972 = 76,972 : x
2. Step 2: Convert to fraction form
   35,633/76,972 = 76,972/x
3. Step 3: Cross multiply
   35,633x = 76,972 × 76,972
4. Step 4: Simplify right side
   35,633x = 5,924,688,784
5. Step 5: Solve for x
   x = 5,924,688,784/35,633
6. Step 6: Final answer
   x = 166,269.72