Finding the Third Proportional to 38,091 and 89,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,091 : 89,017.50 = 89,017.50 : x
2. Step 2: Convert to fraction form
   38,091/89,017.50 = 89,017.50/x
3. Step 3: Cross multiply
   38,091x = 89,017.50 × 89,017.50
4. Step 4: Simplify right side
   38,091x = 7,924,115,306.25
5. Step 5: Solve for x
   x = 7,924,115,306.25/38,091
6. Step 6: Final answer
   x = 208,031.17