Finding the Third Proportional to 27,878.25 and 61,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,878.25 : 61,291.50 = 61,291.50 : x
2. Step 2: Convert to fraction form
   27,878.25/61,291.50 = 61,291.50/x
3. Step 3: Cross multiply
   27,878.25x = 61,291.50 × 61,291.50
4. Step 4: Simplify right side
   27,878.25x = 3,756,647,972.25
5. Step 5: Solve for x
   x = 3,756,647,972.25/27,878.25
6. Step 6: Final answer
   x = 134,751.93