Finding the Third Proportional to 35,631 and 76,972.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,631 : 76,972.50 = 76,972.50 : x
2. Step 2: Convert to fraction form
   35,631/76,972.50 = 76,972.50/x
3. Step 3: Cross multiply
   35,631x = 76,972.50 × 76,972.50
4. Step 4: Simplify right side
   35,631x = 5,924,765,756.25
5. Step 5: Solve for x
   x = 5,924,765,756.25/35,631
6. Step 6: Final answer
   x = 166,281.21