Finding the Third Proportional to 17,740 and 42,190

Step by Step Solution

1. Step 1: Write the proportion equation
   17,740 : 42,190 = 42,190 : x
2. Step 2: Convert to fraction form
   17,740/42,190 = 42,190/x
3. Step 3: Cross multiply
   17,740x = 42,190 × 42,190
4. Step 4: Simplify right side
   17,740x = 1,779,996,100
5. Step 5: Solve for x
   x = 1,779,996,100/17,740
6. Step 6: Final answer
   x = 100,338.00