Finding the Third Proportional to 38,462 and 58,205

Step by Step Solution

1. Step 1: Write the proportion equation
   38,462 : 58,205 = 58,205 : x
2. Step 2: Convert to fraction form
   38,462/58,205 = 58,205/x
3. Step 3: Cross multiply
   38,462x = 58,205 × 58,205
4. Step 4: Simplify right side
   38,462x = 3,387,822,025
5. Step 5: Solve for x
   x = 3,387,822,025/38,462
6. Step 6: Final answer
   x = 88,082.32