Finding the Third Proportional to 31,781 and 62,763

Step by Step Solution

1. Step 1: Write the proportion equation
   31,781 : 62,763 = 62,763 : x
2. Step 2: Convert to fraction form
   31,781/62,763 = 62,763/x
3. Step 3: Cross multiply
   31,781x = 62,763 × 62,763
4. Step 4: Simplify right side
   31,781x = 3,939,194,169
5. Step 5: Solve for x
   x = 3,939,194,169/31,781
6. Step 6: Final answer
   x = 123,948.09