Finding the Third Proportional to 38,241 and 89,970

Step by Step Solution

1. Step 1: Write the proportion equation
   38,241 : 89,970 = 89,970 : x
2. Step 2: Convert to fraction form
   38,241/89,970 = 89,970/x
3. Step 3: Cross multiply
   38,241x = 89,970 × 89,970
4. Step 4: Simplify right side
   38,241x = 8,094,600,900
5. Step 5: Solve for x
   x = 8,094,600,900/38,241
6. Step 6: Final answer
   x = 211,673.36