Finding the Third Proportional to 31,903 and 74,514

Step by Step Solution

1. Step 1: Write the proportion equation
   31,903 : 74,514 = 74,514 : x
2. Step 2: Convert to fraction form
   31,903/74,514 = 74,514/x
3. Step 3: Cross multiply
   31,903x = 74,514 × 74,514
4. Step 4: Simplify right side
   31,903x = 5,552,336,196
5. Step 5: Solve for x
   x = 5,552,336,196/31,903
6. Step 6: Final answer
   x = 174,038.06