Finding the Third Proportional to 37,085 and 58,962

Step by Step Solution

1. Step 1: Write the proportion equation
   37,085 : 58,962 = 58,962 : x
2. Step 2: Convert to fraction form
   37,085/58,962 = 58,962/x
3. Step 3: Cross multiply
   37,085x = 58,962 × 58,962
4. Step 4: Simplify right side
   37,085x = 3,476,517,444
5. Step 5: Solve for x
   x = 3,476,517,444/37,085
6. Step 6: Final answer
   x = 93,744.57