Finding the Third Proportional to 39,636 and 58,140

Step by Step Solution

1. Step 1: Write the proportion equation
   39,636 : 58,140 = 58,140 : x
2. Step 2: Convert to fraction form
   39,636/58,140 = 58,140/x
3. Step 3: Cross multiply
   39,636x = 58,140 × 58,140
4. Step 4: Simplify right side
   39,636x = 3,380,259,600
5. Step 5: Solve for x
   x = 3,380,259,600/39,636
6. Step 6: Final answer
   x = 85,282.56