Finding the Third Proportional to 35,682.50 and 78,427

Step by Step Solution

1. Step 1: Write the proportion equation
   35,682.50 : 78,427 = 78,427 : x
2. Step 2: Convert to fraction form
   35,682.50/78,427 = 78,427/x
3. Step 3: Cross multiply
   35,682.50x = 78,427 × 78,427
4. Step 4: Simplify right side
   35,682.50x = 6,150,794,329
5. Step 5: Solve for x
   x = 6,150,794,329/35,682.50
6. Step 6: Final answer
   x = 172,375.66