Finding the Third Proportional to 37,866 and 58,623

Step by Step Solution

1. Step 1: Write the proportion equation
   37,866 : 58,623 = 58,623 : x
2. Step 2: Convert to fraction form
   37,866/58,623 = 58,623/x
3. Step 3: Cross multiply
   37,866x = 58,623 × 58,623
4. Step 4: Simplify right side
   37,866x = 3,436,656,129
5. Step 5: Solve for x
   x = 3,436,656,129/37,866
6. Step 6: Final answer
   x = 90,758.36