Finding the Third Proportional to 31,763 and 67,898

Step by Step Solution

1. Step 1: Write the proportion equation
   31,763 : 67,898 = 67,898 : x
2. Step 2: Convert to fraction form
   31,763/67,898 = 67,898/x
3. Step 3: Cross multiply
   31,763x = 67,898 × 67,898
4. Step 4: Simplify right side
   31,763x = 4,610,138,404
5. Step 5: Solve for x
   x = 4,610,138,404/31,763
6. Step 6: Final answer
   x = 145,141.78