Finding the Third Proportional to 37,229 and 58,274

Step by Step Solution

1. Step 1: Write the proportion equation
   37,229 : 58,274 = 58,274 : x
2. Step 2: Convert to fraction form
   37,229/58,274 = 58,274/x
3. Step 3: Cross multiply
   37,229x = 58,274 × 58,274
4. Step 4: Simplify right side
   37,229x = 3,395,859,076
5. Step 5: Solve for x
   x = 3,395,859,076/37,229
6. Step 6: Final answer
   x = 91,215.43