Finding the Third Proportional to 41,537 and 88,510

Step by Step Solution

1. Step 1: Write the proportion equation
   41,537 : 88,510 = 88,510 : x
2. Step 2: Convert to fraction form
   41,537/88,510 = 88,510/x
3. Step 3: Cross multiply
   41,537x = 88,510 × 88,510
4. Step 4: Simplify right side
   41,537x = 7,834,020,100
5. Step 5: Solve for x
   x = 7,834,020,100/41,537
6. Step 6: Final answer
   x = 188,603.42