Finding the Third Proportional to 37,892 and 59,310

Step by Step Solution

1. Step 1: Write the proportion equation
   37,892 : 59,310 = 59,310 : x
2. Step 2: Convert to fraction form
   37,892/59,310 = 59,310/x
3. Step 3: Cross multiply
   37,892x = 59,310 × 59,310
4. Step 4: Simplify right side
   37,892x = 3,517,676,100
5. Step 5: Solve for x
   x = 3,517,676,100/37,892
6. Step 6: Final answer
   x = 92,834.27