Finding the Third Proportional to 38,462 and 58,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,462 : 58,205.50 = 58,205.50 : x
2. Step 2: Convert to fraction form
   38,462/58,205.50 = 58,205.50/x
3. Step 3: Cross multiply
   38,462x = 58,205.50 × 58,205.50
4. Step 4: Simplify right side
   38,462x = 3,387,880,230.25
5. Step 5: Solve for x
   x = 3,387,880,230.25/38,462
6. Step 6: Final answer
   x = 88,083.83