Finding the Third Proportional to 38,567 and 58,262

Step by Step Solution

1. Step 1: Write the proportion equation
   38,567 : 58,262 = 58,262 : x
2. Step 2: Convert to fraction form
   38,567/58,262 = 58,262/x
3. Step 3: Cross multiply
   38,567x = 58,262 × 58,262
4. Step 4: Simplify right side
   38,567x = 3,394,460,644
5. Step 5: Solve for x
   x = 3,394,460,644/38,567
6. Step 6: Final answer
   x = 88,014.64