Finding the Third Proportional to 72,641 and 100,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,641 : 100,033.50 = 100,033.50 : x
2. Step 2: Convert to fraction form
   72,641/100,033.50 = 100,033.50/x
3. Step 3: Cross multiply
   72,641x = 100,033.50 × 100,033.50
4. Step 4: Simplify right side
   72,641x = 10,006,701,122.25
5. Step 5: Solve for x
   x = 10,006,701,122.25/72,641
6. Step 6: Final answer
   x = 137,755.55