Finding the Third Proportional to 31,062 and 49,209

Step by Step Solution

1. Step 1: Write the proportion equation
   31,062 : 49,209 = 49,209 : x
2. Step 2: Convert to fraction form
   31,062/49,209 = 49,209/x
3. Step 3: Cross multiply
   31,062x = 49,209 × 49,209
4. Step 4: Simplify right side
   31,062x = 2,421,525,681
5. Step 5: Solve for x
   x = 2,421,525,681/31,062
6. Step 6: Final answer
   x = 77,957.82