Finding the Third Proportional to 35,614.50 and 76,170

Step by Step Solution

1. Step 1: Write the proportion equation
   35,614.50 : 76,170 = 76,170 : x
2. Step 2: Convert to fraction form
   35,614.50/76,170 = 76,170/x
3. Step 3: Cross multiply
   35,614.50x = 76,170 × 76,170
4. Step 4: Simplify right side
   35,614.50x = 5,801,868,900
5. Step 5: Solve for x
   x = 5,801,868,900/35,614.50
6. Step 6: Final answer
   x = 162,907.49