Finding the Third Proportional to 27,771.75 and 59,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,771.75 : 59,647.50 = 59,647.50 : x
2. Step 2: Convert to fraction form
   27,771.75/59,647.50 = 59,647.50/x
3. Step 3: Cross multiply
   27,771.75x = 59,647.50 × 59,647.50
4. Step 4: Simplify right side
   27,771.75x = 3,557,824,256.25
5. Step 5: Solve for x
   x = 3,557,824,256.25/27,771.75
6. Step 6: Final answer
   x = 128,109.47