Finding the Third Proportional to 27,947 and 42,182

Step by Step Solution

1. Step 1: Write the proportion equation
   27,947 : 42,182 = 42,182 : x
2. Step 2: Convert to fraction form
   27,947/42,182 = 42,182/x
3. Step 3: Cross multiply
   27,947x = 42,182 × 42,182
4. Step 4: Simplify right side
   27,947x = 1,779,321,124
5. Step 5: Solve for x
   x = 1,779,321,124/27,947
6. Step 6: Final answer
   x = 63,667.70