Finding the Third Proportional to 41,565 and 89,038

Step by Step Solution

1. Step 1: Write the proportion equation
   41,565 : 89,038 = 89,038 : x
2. Step 2: Convert to fraction form
   41,565/89,038 = 89,038/x
3. Step 3: Cross multiply
   41,565x = 89,038 × 89,038
4. Step 4: Simplify right side
   41,565x = 7,927,765,444
5. Step 5: Solve for x
   x = 7,927,765,444/41,565
6. Step 6: Final answer
   x = 190,731.76