Finding the Third Proportional to 19,102 and 42,090

Step by Step Solution

1. Step 1: Write the proportion equation
   19,102 : 42,090 = 42,090 : x
2. Step 2: Convert to fraction form
   19,102/42,090 = 42,090/x
3. Step 3: Cross multiply
   19,102x = 42,090 × 42,090
4. Step 4: Simplify right side
   19,102x = 1,771,568,100
5. Step 5: Solve for x
   x = 1,771,568,100/19,102
6. Step 6: Final answer
   x = 92,742.55