Finding the Third Proportional to 31,430 and 42,710

Step by Step Solution

1. Step 1: Write the proportion equation
   31,430 : 42,710 = 42,710 : x
2. Step 2: Convert to fraction form
   31,430/42,710 = 42,710/x
3. Step 3: Cross multiply
   31,430x = 42,710 × 42,710
4. Step 4: Simplify right side
   31,430x = 1,824,144,100
5. Step 5: Solve for x
   x = 1,824,144,100/31,430
6. Step 6: Final answer
   x = 58,038.31