Finding the Third Proportional to 67,838 and 99,725

Step by Step Solution

1. Step 1: Write the proportion equation
   67,838 : 99,725 = 99,725 : x
2. Step 2: Convert to fraction form
   67,838/99,725 = 99,725/x
3. Step 3: Cross multiply
   67,838x = 99,725 × 99,725
4. Step 4: Simplify right side
   67,838x = 9,945,075,625
5. Step 5: Solve for x
   x = 9,945,075,625/67,838
6. Step 6: Final answer
   x = 146,600.37