Finding the Third Proportional to 27,877.50 and 57,685.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,877.50 : 57,685.50 = 57,685.50 : x
2. Step 2: Convert to fraction form
   27,877.50/57,685.50 = 57,685.50/x
3. Step 3: Cross multiply
   27,877.50x = 57,685.50 × 57,685.50
4. Step 4: Simplify right side
   27,877.50x = 3,327,616,910.25
5. Step 5: Solve for x
   x = 3,327,616,910.25/27,877.50
6. Step 6: Final answer
   x = 119,365.69