Finding the Third Proportional to 31,365 and 42,174

Step by Step Solution

1. Step 1: Write the proportion equation
   31,365 : 42,174 = 42,174 : x
2. Step 2: Convert to fraction form
   31,365/42,174 = 42,174/x
3. Step 3: Cross multiply
   31,365x = 42,174 × 42,174
4. Step 4: Simplify right side
   31,365x = 1,778,646,276
5. Step 5: Solve for x
   x = 1,778,646,276/31,365
6. Step 6: Final answer
   x = 56,708.00