Finding the Third Proportional to 37,113 and 82,002

Step by Step Solution

1. Step 1: Write the proportion equation
   37,113 : 82,002 = 82,002 : x
2. Step 2: Convert to fraction form
   37,113/82,002 = 82,002/x
3. Step 3: Cross multiply
   37,113x = 82,002 × 82,002
4. Step 4: Simplify right side
   37,113x = 6,724,328,004
5. Step 5: Solve for x
   x = 6,724,328,004/37,113
6. Step 6: Final answer
   x = 181,185.25