Finding the Third Proportional to 35,487 and 49,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,487 : 49,342.50 = 49,342.50 : x
2. Step 2: Convert to fraction form
   35,487/49,342.50 = 49,342.50/x
3. Step 3: Cross multiply
   35,487x = 49,342.50 × 49,342.50
4. Step 4: Simplify right side
   35,487x = 2,434,682,306.25
5. Step 5: Solve for x
   x = 2,434,682,306.25/35,487
6. Step 6: Final answer
   x = 68,607.72