Finding the Third Proportional to 31,526 and 67,838

Step by Step Solution

1. Step 1: Write the proportion equation
   31,526 : 67,838 = 67,838 : x
2. Step 2: Convert to fraction form
   31,526/67,838 = 67,838/x
3. Step 3: Cross multiply
   31,526x = 67,838 × 67,838
4. Step 4: Simplify right side
   31,526x = 4,601,994,244
5. Step 5: Solve for x
   x = 4,601,994,244/31,526
6. Step 6: Final answer
   x = 145,974.57