Finding the Third Proportional to 38,234 and 89,958

Step by Step Solution

1. Step 1: Write the proportion equation
   38,234 : 89,958 = 89,958 : x
2. Step 2: Convert to fraction form
   38,234/89,958 = 89,958/x
3. Step 3: Cross multiply
   38,234x = 89,958 × 89,958
4. Step 4: Simplify right side
   38,234x = 8,092,441,764
5. Step 5: Solve for x
   x = 8,092,441,764/38,234
6. Step 6: Final answer
   x = 211,655.64