Finding the Third Proportional to 31,563 and 67,895

Step by Step Solution

1. Step 1: Write the proportion equation
   31,563 : 67,895 = 67,895 : x
2. Step 2: Convert to fraction form
   31,563/67,895 = 67,895/x
3. Step 3: Cross multiply
   31,563x = 67,895 × 67,895
4. Step 4: Simplify right side
   31,563x = 4,609,731,025
5. Step 5: Solve for x
   x = 4,609,731,025/31,563
6. Step 6: Final answer
   x = 146,048.57