Finding the Third Proportional to 31,762 and 67,896

Step by Step Solution

1. Step 1: Write the proportion equation
   31,762 : 67,896 = 67,896 : x
2. Step 2: Convert to fraction form
   31,762/67,896 = 67,896/x
3. Step 3: Cross multiply
   31,762x = 67,896 × 67,896
4. Step 4: Simplify right side
   31,762x = 4,609,866,816
5. Step 5: Solve for x
   x = 4,609,866,816/31,762
6. Step 6: Final answer
   x = 145,137.80