Finding the Third Proportional to 38,833 and 58,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,833 : 58,189.50 = 58,189.50 : x
2. Step 2: Convert to fraction form
   38,833/58,189.50 = 58,189.50/x
3. Step 3: Cross multiply
   38,833x = 58,189.50 × 58,189.50
4. Step 4: Simplify right side
   38,833x = 3,386,017,910.25
5. Step 5: Solve for x
   x = 3,386,017,910.25/38,833
6. Step 6: Final answer
   x = 87,194.34