Finding the Third Proportional to 38,834 and 58,191

Step by Step Solution

1. Step 1: Write the proportion equation
   38,834 : 58,191 = 58,191 : x
2. Step 2: Convert to fraction form
   38,834/58,191 = 58,191/x
3. Step 3: Cross multiply
   38,834x = 58,191 × 58,191
4. Step 4: Simplify right side
   38,834x = 3,386,192,481
5. Step 5: Solve for x
   x = 3,386,192,481/38,834
6. Step 6: Final answer
   x = 87,196.59