Finding the Third Proportional to 31,983 and 74,703

Step by Step Solution

1. Step 1: Write the proportion equation
   31,983 : 74,703 = 74,703 : x
2. Step 2: Convert to fraction form
   31,983/74,703 = 74,703/x
3. Step 3: Cross multiply
   31,983x = 74,703 × 74,703
4. Step 4: Simplify right side
   31,983x = 5,580,538,209
5. Step 5: Solve for x
   x = 5,580,538,209/31,983
6. Step 6: Final answer
   x = 174,484.51