Finding the Third Proportional to 37,518 and 88,563.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,518 : 88,563.38 = 88,563.38 : x
2. Step 2: Convert to fraction form
   37,518/88,563.38 = 88,563.38/x
3. Step 3: Cross multiply
   37,518x = 88,563.38 × 88,563.38
4. Step 4: Simplify right side
   37,518x = 7,843,471,391.39
5. Step 5: Solve for x
   x = 7,843,471,391.39/37,518
6. Step 6: Final answer
   x = 209,058.89