Finding the Third Proportional to 35,270 and 76,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,270 : 76,966.50 = 76,966.50 : x
2. Step 2: Convert to fraction form
   35,270/76,966.50 = 76,966.50/x
3. Step 3: Cross multiply
   35,270x = 76,966.50 × 76,966.50
4. Step 4: Simplify right side
   35,270x = 5,923,842,122.25
5. Step 5: Solve for x
   x = 5,923,842,122.25/35,270
6. Step 6: Final answer
   x = 167,956.96