Finding the Third Proportional to 38,236.50 and 89,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,236.50 : 89,962.50 = 89,962.50 : x
2. Step 2: Convert to fraction form
   38,236.50/89,962.50 = 89,962.50/x
3. Step 3: Cross multiply
   38,236.50x = 89,962.50 × 89,962.50
4. Step 4: Simplify right side
   38,236.50x = 8,093,251,406.25
5. Step 5: Solve for x
   x = 8,093,251,406.25/38,236.50
6. Step 6: Final answer
   x = 211,662.98