Finding the Third Proportional to 35,176 and 74,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,176 : 74,965.50 = 74,965.50 : x
2. Step 2: Convert to fraction form
   35,176/74,965.50 = 74,965.50/x
3. Step 3: Cross multiply
   35,176x = 74,965.50 × 74,965.50
4. Step 4: Simplify right side
   35,176x = 5,619,826,190.25
5. Step 5: Solve for x
   x = 5,619,826,190.25/35,176
6. Step 6: Final answer
   x = 159,763.08