Finding the Third Proportional to 31,888 and 67,421

Step by Step Solution

1. Step 1: Write the proportion equation
   31,888 : 67,421 = 67,421 : x
2. Step 2: Convert to fraction form
   31,888/67,421 = 67,421/x
3. Step 3: Cross multiply
   31,888x = 67,421 × 67,421
4. Step 4: Simplify right side
   31,888x = 4,545,591,241
5. Step 5: Solve for x
   x = 4,545,591,241/31,888
6. Step 6: Final answer
   x = 142,548.65