Finding the Third Proportional to 31,428 and 42,707.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,428 : 42,707.25 = 42,707.25 : x
2. Step 2: Convert to fraction form
   31,428/42,707.25 = 42,707.25/x
3. Step 3: Cross multiply
   31,428x = 42,707.25 × 42,707.25
4. Step 4: Simplify right side
   31,428x = 1,823,909,202.56
5. Step 5: Solve for x
   x = 1,823,909,202.56/31,428
6. Step 6: Final answer
   x = 58,034.53