Finding the Third Proportional to 44,661 and 76,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   44,661 : 76,063.50 = 76,063.50 : x
2. Step 2: Convert to fraction form
   44,661/76,063.50 = 76,063.50/x
3. Step 3: Cross multiply
   44,661x = 76,063.50 × 76,063.50
4. Step 4: Simplify right side
   44,661x = 5,785,656,032.25
5. Step 5: Solve for x
   x = 5,785,656,032.25/44,661
6. Step 6: Final answer
   x = 129,546.05