Finding the Third Proportional to 31,169 and 42,584

Step by Step Solution

1. Step 1: Write the proportion equation
   31,169 : 42,584 = 42,584 : x
2. Step 2: Convert to fraction form
   31,169/42,584 = 42,584/x
3. Step 3: Cross multiply
   31,169x = 42,584 × 42,584
4. Step 4: Simplify right side
   31,169x = 1,813,397,056
5. Step 5: Solve for x
   x = 1,813,397,056/31,169
6. Step 6: Final answer
   x = 58,179.51