Finding the Third Proportional to 27,834 and 57,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,834 : 57,034.50 = 57,034.50 : x
2. Step 2: Convert to fraction form
   27,834/57,034.50 = 57,034.50/x
3. Step 3: Cross multiply
   27,834x = 57,034.50 × 57,034.50
4. Step 4: Simplify right side
   27,834x = 3,252,934,190.25
5. Step 5: Solve for x
   x = 3,252,934,190.25/27,834
6. Step 6: Final answer
   x = 116,869.09