Finding the Third Proportional to 42,078 and 61,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,078 : 61,489.50 = 61,489.50 : x
2. Step 2: Convert to fraction form
   42,078/61,489.50 = 61,489.50/x
3. Step 3: Cross multiply
   42,078x = 61,489.50 × 61,489.50
4. Step 4: Simplify right side
   42,078x = 3,780,958,610.25
5. Step 5: Solve for x
   x = 3,780,958,610.25/42,078
6. Step 6: Final answer
   x = 89,855.95