Finding the Third Proportional to 35,950.50 and 78,462

Step by Step Solution

1. Step 1: Write the proportion equation
   35,950.50 : 78,462 = 78,462 : x
2. Step 2: Convert to fraction form
   35,950.50/78,462 = 78,462/x
3. Step 3: Cross multiply
   35,950.50x = 78,462 × 78,462
4. Step 4: Simplify right side
   35,950.50x = 6,156,285,444
5. Step 5: Solve for x
   x = 6,156,285,444/35,950.50
6. Step 6: Final answer
   x = 171,243.39