Finding the Third Proportional to 27,130 and 42,002

Step by Step Solution

1. Step 1: Write the proportion equation
   27,130 : 42,002 = 42,002 : x
2. Step 2: Convert to fraction form
   27,130/42,002 = 42,002/x
3. Step 3: Cross multiply
   27,130x = 42,002 × 42,002
4. Step 4: Simplify right side
   27,130x = 1,764,168,004
5. Step 5: Solve for x
   x = 1,764,168,004/27,130
6. Step 6: Final answer
   x = 65,026.47