Finding the Third Proportional to 37,181 and 49,210

Step by Step Solution

1. Step 1: Write the proportion equation
   37,181 : 49,210 = 49,210 : x
2. Step 2: Convert to fraction form
   37,181/49,210 = 49,210/x
3. Step 3: Cross multiply
   37,181x = 49,210 × 49,210
4. Step 4: Simplify right side
   37,181x = 2,421,624,100
5. Step 5: Solve for x
   x = 2,421,624,100/37,181
6. Step 6: Final answer
   x = 65,130.69