Finding the Third Proportional to 19,256 and 42,188

Step by Step Solution

1. Step 1: Write the proportion equation
   19,256 : 42,188 = 42,188 : x
2. Step 2: Convert to fraction form
   19,256/42,188 = 42,188/x
3. Step 3: Cross multiply
   19,256x = 42,188 × 42,188
4. Step 4: Simplify right side
   19,256x = 1,779,827,344
5. Step 5: Solve for x
   x = 1,779,827,344/19,256
6. Step 6: Final answer
   x = 92,429.75