Finding the Third Proportional to 31,352 and 42,580

Step by Step Solution

1. Step 1: Write the proportion equation
   31,352 : 42,580 = 42,580 : x
2. Step 2: Convert to fraction form
   31,352/42,580 = 42,580/x
3. Step 3: Cross multiply
   31,352x = 42,580 × 42,580
4. Step 4: Simplify right side
   31,352x = 1,813,056,400
5. Step 5: Solve for x
   x = 1,813,056,400/31,352
6. Step 6: Final answer
   x = 57,829.05