Finding the Third Proportional to 68,638.50 and 102,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   68,638.50 : 102,355.50 = 102,355.50 : x
2. Step 2: Convert to fraction form
   68,638.50/102,355.50 = 102,355.50/x
3. Step 3: Cross multiply
   68,638.50x = 102,355.50 × 102,355.50
4. Step 4: Simplify right side
   68,638.50x = 10,476,648,380.25
5. Step 5: Solve for x
   x = 10,476,648,380.25/68,638.50
6. Step 6: Final answer
   x = 152,635.16