Finding the Third Proportional to 35,727 and 76,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,727 : 76,375.50 = 76,375.50 : x
2. Step 2: Convert to fraction form
   35,727/76,375.50 = 76,375.50/x
3. Step 3: Cross multiply
   35,727x = 76,375.50 × 76,375.50
4. Step 4: Simplify right side
   35,727x = 5,833,217,000.25
5. Step 5: Solve for x
   x = 5,833,217,000.25/35,727
6. Step 6: Final answer
   x = 163,271.95