Finding the Third Proportional to 41,538 and 88,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,538 : 88,513.50 = 88,513.50 : x
2. Step 2: Convert to fraction form
   41,538/88,513.50 = 88,513.50/x
3. Step 3: Cross multiply
   41,538x = 88,513.50 × 88,513.50
4. Step 4: Simplify right side
   41,538x = 7,834,639,682.25
5. Step 5: Solve for x
   x = 7,834,639,682.25/41,538
6. Step 6: Final answer
   x = 188,613.79