Finding the Third Proportional to 37,894 and 59,312

Step by Step Solution

1. Step 1: Write the proportion equation
   37,894 : 59,312 = 59,312 : x
2. Step 2: Convert to fraction form
   37,894/59,312 = 59,312/x
3. Step 3: Cross multiply
   37,894x = 59,312 × 59,312
4. Step 4: Simplify right side
   37,894x = 3,517,913,344
5. Step 5: Solve for x
   x = 3,517,913,344/37,894
6. Step 6: Final answer
   x = 92,835.63