Finding the Third Proportional to 27,834 and 41,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,834 : 41,749.50 = 41,749.50 : x
2. Step 2: Convert to fraction form
   27,834/41,749.50 = 41,749.50/x
3. Step 3: Cross multiply
   27,834x = 41,749.50 × 41,749.50
4. Step 4: Simplify right side
   27,834x = 1,743,020,750.25
5. Step 5: Solve for x
   x = 1,743,020,750.25/27,834
6. Step 6: Final answer
   x = 62,622.00