Finding the Third Proportional to 38,238.50 and 89,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,238.50 : 89,965.50 = 89,965.50 : x
2. Step 2: Convert to fraction form
   38,238.50/89,965.50 = 89,965.50/x
3. Step 3: Cross multiply
   38,238.50x = 89,965.50 × 89,965.50
4. Step 4: Simplify right side
   38,238.50x = 8,093,791,190.25
5. Step 5: Solve for x
   x = 8,093,791,190.25/38,238.50
6. Step 6: Final answer
   x = 211,666.02