Finding the Third Proportional to 44,661 and 67,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   44,661 : 67,567.50 = 67,567.50 : x
2. Step 2: Convert to fraction form
   44,661/67,567.50 = 67,567.50/x
3. Step 3: Cross multiply
   44,661x = 67,567.50 × 67,567.50
4. Step 4: Simplify right side
   44,661x = 4,565,367,056.25
5. Step 5: Solve for x
   x = 4,565,367,056.25/44,661
6. Step 6: Final answer
   x = 102,222.68