Finding the Third Proportional to 31,174 and 42,590

Step by Step Solution

1. Step 1: Write the proportion equation
   31,174 : 42,590 = 42,590 : x
2. Step 2: Convert to fraction form
   31,174/42,590 = 42,590/x
3. Step 3: Cross multiply
   31,174x = 42,590 × 42,590
4. Step 4: Simplify right side
   31,174x = 1,813,908,100
5. Step 5: Solve for x
   x = 1,813,908,100/31,174
6. Step 6: Final answer
   x = 58,186.57