Finding the Third Proportional to 42,383 and 58,174

Step by Step Solution

1. Step 1: Write the proportion equation
   42,383 : 58,174 = 58,174 : x
2. Step 2: Convert to fraction form
   42,383/58,174 = 58,174/x
3. Step 3: Cross multiply
   42,383x = 58,174 × 58,174
4. Step 4: Simplify right side
   42,383x = 3,384,214,276
5. Step 5: Solve for x
   x = 3,384,214,276/42,383
6. Step 6: Final answer
   x = 79,848.39