Finding the Third Proportional to 27,878 and 61,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,878 : 61,290.50 = 61,290.50 : x
2. Step 2: Convert to fraction form
   27,878/61,290.50 = 61,290.50/x
3. Step 3: Cross multiply
   27,878x = 61,290.50 × 61,290.50
4. Step 4: Simplify right side
   27,878x = 3,756,525,390.25
5. Step 5: Solve for x
   x = 3,756,525,390.25/27,878
6. Step 6: Final answer
   x = 134,748.74