Finding the Third Proportional to 37,894 and 56,842

Step by Step Solution

1. Step 1: Write the proportion equation
   37,894 : 56,842 = 56,842 : x
2. Step 2: Convert to fraction form
   37,894/56,842 = 56,842/x
3. Step 3: Cross multiply
   37,894x = 56,842 × 56,842
4. Step 4: Simplify right side
   37,894x = 3,231,012,964
5. Step 5: Solve for x
   x = 3,231,012,964/37,894
6. Step 6: Final answer
   x = 85,264.50