Finding the Third Proportional to 31,580 and 42,130

Step by Step Solution

1. Step 1: Write the proportion equation
   31,580 : 42,130 = 42,130 : x
2. Step 2: Convert to fraction form
   31,580/42,130 = 42,130/x
3. Step 3: Cross multiply
   31,580x = 42,130 × 42,130
4. Step 4: Simplify right side
   31,580x = 1,774,936,900
5. Step 5: Solve for x
   x = 1,774,936,900/31,580
6. Step 6: Final answer
   x = 56,204.46