Finding the Third Proportional to 37,289 and 58,202

Step by Step Solution

1. Step 1: Write the proportion equation
   37,289 : 58,202 = 58,202 : x
2. Step 2: Convert to fraction form
   37,289/58,202 = 58,202/x
3. Step 3: Cross multiply
   37,289x = 58,202 × 58,202
4. Step 4: Simplify right side
   37,289x = 3,387,472,804
5. Step 5: Solve for x
   x = 3,387,472,804/37,289
6. Step 6: Final answer
   x = 90,843.76