Finding the Third Proportional to 67,762 and 100,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,762 : 100,662.50 = 100,662.50 : x
2. Step 2: Convert to fraction form
   67,762/100,662.50 = 100,662.50/x
3. Step 3: Cross multiply
   67,762x = 100,662.50 × 100,662.50
4. Step 4: Simplify right side
   67,762x = 10,132,938,906.25
5. Step 5: Solve for x
   x = 10,132,938,906.25/67,762
6. Step 6: Final answer
   x = 149,537.19