Finding the Third Proportional to 34,741 and 53,828

Step by Step Solution

1. Step 1: Write the proportion equation
   34,741 : 53,828 = 53,828 : x
2. Step 2: Convert to fraction form
   34,741/53,828 = 53,828/x
3. Step 3: Cross multiply
   34,741x = 53,828 × 53,828
4. Step 4: Simplify right side
   34,741x = 2,897,453,584
5. Step 5: Solve for x
   x = 2,897,453,584/34,741
6. Step 6: Final answer
   x = 83,401.56