Finding the Third Proportional to 38,147 and 58,353

Step by Step Solution

1. Step 1: Write the proportion equation
   38,147 : 58,353 = 58,353 : x
2. Step 2: Convert to fraction form
   38,147/58,353 = 58,353/x
3. Step 3: Cross multiply
   38,147x = 58,353 × 58,353
4. Step 4: Simplify right side
   38,147x = 3,405,072,609
5. Step 5: Solve for x
   x = 3,405,072,609/38,147
6. Step 6: Final answer
   x = 89,261.87