Finding the Third Proportional to 27,137 and 56,002

Step by Step Solution

1. Step 1: Write the proportion equation
   27,137 : 56,002 = 56,002 : x
2. Step 2: Convert to fraction form
   27,137/56,002 = 56,002/x
3. Step 3: Cross multiply
   27,137x = 56,002 × 56,002
4. Step 4: Simplify right side
   27,137x = 3,136,224,004
5. Step 5: Solve for x
   x = 3,136,224,004/27,137
6. Step 6: Final answer
   x = 115,570.03