Finding the Third Proportional to 41,537 and 88,511.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,537 : 88,511.50 = 88,511.50 : x
2. Step 2: Convert to fraction form
   41,537/88,511.50 = 88,511.50/x
3. Step 3: Cross multiply
   41,537x = 88,511.50 × 88,511.50
4. Step 4: Simplify right side
   41,537x = 7,834,285,632.25
5. Step 5: Solve for x
   x = 7,834,285,632.25/41,537
6. Step 6: Final answer
   x = 188,609.81