Finding the Third Proportional to 38,091 and 89,017

Step by Step Solution

1. Step 1: Write the proportion equation
   38,091 : 89,017 = 89,017 : x
2. Step 2: Convert to fraction form
   38,091/89,017 = 89,017/x
3. Step 3: Cross multiply
   38,091x = 89,017 × 89,017
4. Step 4: Simplify right side
   38,091x = 7,924,026,289
5. Step 5: Solve for x
   x = 7,924,026,289/38,091
6. Step 6: Final answer
   x = 208,028.83