Finding the Third Proportional to 27,729 and 61,290

Step by Step Solution

1. Step 1: Write the proportion equation
   27,729 : 61,290 = 61,290 : x
2. Step 2: Convert to fraction form
   27,729/61,290 = 61,290/x
3. Step 3: Cross multiply
   27,729x = 61,290 × 61,290
4. Step 4: Simplify right side
   27,729x = 3,756,464,100
5. Step 5: Solve for x
   x = 3,756,464,100/27,729
6. Step 6: Final answer
   x = 135,470.59