Finding the Third Proportional to 37,100 and 81,274

Step by Step Solution

1. Step 1: Write the proportion equation
   37,100 : 81,274 = 81,274 : x
2. Step 2: Convert to fraction form
   37,100/81,274 = 81,274/x
3. Step 3: Cross multiply
   37,100x = 81,274 × 81,274
4. Step 4: Simplify right side
   37,100x = 6,605,463,076
5. Step 5: Solve for x
   x = 6,605,463,076/37,100
6. Step 6: Final answer
   x = 178,044.83