Finding the Third Proportional to 31,582 and 42,135

Step by Step Solution

1. Step 1: Write the proportion equation
   31,582 : 42,135 = 42,135 : x
2. Step 2: Convert to fraction form
   31,582/42,135 = 42,135/x
3. Step 3: Cross multiply
   31,582x = 42,135 × 42,135
4. Step 4: Simplify right side
   31,582x = 1,775,358,225
5. Step 5: Solve for x
   x = 1,775,358,225/31,582
6. Step 6: Final answer
   x = 56,214.24