Finding the Third Proportional to 38,172 and 58,398

Step by Step Solution

1. Step 1: Write the proportion equation
   38,172 : 58,398 = 58,398 : x
2. Step 2: Convert to fraction form
   38,172/58,398 = 58,398/x
3. Step 3: Cross multiply
   38,172x = 58,398 × 58,398
4. Step 4: Simplify right side
   38,172x = 3,410,326,404
5. Step 5: Solve for x
   x = 3,410,326,404/38,172
6. Step 6: Final answer
   x = 89,341.05