Finding the Third Proportional to 37,894 and 59,446

Step by Step Solution

1. Step 1: Write the proportion equation
   37,894 : 59,446 = 59,446 : x
2. Step 2: Convert to fraction form
   37,894/59,446 = 59,446/x
3. Step 3: Cross multiply
   37,894x = 59,446 × 59,446
4. Step 4: Simplify right side
   37,894x = 3,533,826,916
5. Step 5: Solve for x
   x = 3,533,826,916/37,894
6. Step 6: Final answer
   x = 93,255.58