Finding the Third Proportional to 39,214 and 59,182

Step by Step Solution

1. Step 1: Write the proportion equation
   39,214 : 59,182 = 59,182 : x
2. Step 2: Convert to fraction form
   39,214/59,182 = 59,182/x
3. Step 3: Cross multiply
   39,214x = 59,182 × 59,182
4. Step 4: Simplify right side
   39,214x = 3,502,509,124
5. Step 5: Solve for x
   x = 3,502,509,124/39,214
6. Step 6: Final answer
   x = 89,317.82