Finding the Third Proportional to 37,954 and 58,641

Step by Step Solution

1. Step 1: Write the proportion equation
   37,954 : 58,641 = 58,641 : x
2. Step 2: Convert to fraction form
   37,954/58,641 = 58,641/x
3. Step 3: Cross multiply
   37,954x = 58,641 × 58,641
4. Step 4: Simplify right side
   37,954x = 3,438,766,881
5. Step 5: Solve for x
   x = 3,438,766,881/37,954
6. Step 6: Final answer
   x = 90,603.54