Finding the Third Proportional to 31,884 and 42,854

Step by Step Solution

1. Step 1: Write the proportion equation
   31,884 : 42,854 = 42,854 : x
2. Step 2: Convert to fraction form
   31,884/42,854 = 42,854/x
3. Step 3: Cross multiply
   31,884x = 42,854 × 42,854
4. Step 4: Simplify right side
   31,884x = 1,836,465,316
5. Step 5: Solve for x
   x = 1,836,465,316/31,884
6. Step 6: Final answer
   x = 57,598.34