Finding the Third Proportional to 37,894 and 58,835

Step by Step Solution

1. Step 1: Write the proportion equation
   37,894 : 58,835 = 58,835 : x
2. Step 2: Convert to fraction form
   37,894/58,835 = 58,835/x
3. Step 3: Cross multiply
   37,894x = 58,835 × 58,835
4. Step 4: Simplify right side
   37,894x = 3,461,557,225
5. Step 5: Solve for x
   x = 3,461,557,225/37,894
6. Step 6: Final answer
   x = 91,348.43