Finding the Third Proportional to 41,083.50 and 84,114

Step by Step Solution

1. Step 1: Write the proportion equation
   41,083.50 : 84,114 = 84,114 : x
2. Step 2: Convert to fraction form
   41,083.50/84,114 = 84,114/x
3. Step 3: Cross multiply
   41,083.50x = 84,114 × 84,114
4. Step 4: Simplify right side
   41,083.50x = 7,075,164,996
5. Step 5: Solve for x
   x = 7,075,164,996/41,083.50
6. Step 6: Final answer
   x = 172,214.27