Finding the Third Proportional to 38,308.50 and 89,021.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,308.50 : 89,021.25 = 89,021.25 : x
2. Step 2: Convert to fraction form
   38,308.50/89,021.25 = 89,021.25/x
3. Step 3: Cross multiply
   38,308.50x = 89,021.25 × 89,021.25
4. Step 4: Simplify right side
   38,308.50x = 7,924,782,951.56
5. Step 5: Solve for x
   x = 7,924,782,951.56/38,308.50
6. Step 6: Final answer
   x = 206,867.48