Finding the Third Proportional to 31,654 and 49,012

Step by Step Solution

1. Step 1: Write the proportion equation
   31,654 : 49,012 = 49,012 : x
2. Step 2: Convert to fraction form
   31,654/49,012 = 49,012/x
3. Step 3: Cross multiply
   31,654x = 49,012 × 49,012
4. Step 4: Simplify right side
   31,654x = 2,402,176,144
5. Step 5: Solve for x
   x = 2,402,176,144/31,654
6. Step 6: Final answer
   x = 75,888.55