Finding the Third Proportional to 37,564 and 58,502

Step by Step Solution

1. Step 1: Write the proportion equation
   37,564 : 58,502 = 58,502 : x
2. Step 2: Convert to fraction form
   37,564/58,502 = 58,502/x
3. Step 3: Cross multiply
   37,564x = 58,502 × 58,502
4. Step 4: Simplify right side
   37,564x = 3,422,484,004
5. Step 5: Solve for x
   x = 3,422,484,004/37,564
6. Step 6: Final answer
   x = 91,110.74