Finding the Third Proportional to 35,330 and 75,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,330 : 75,778.50 = 75,778.50 : x
2. Step 2: Convert to fraction form
   35,330/75,778.50 = 75,778.50/x
3. Step 3: Cross multiply
   35,330x = 75,778.50 × 75,778.50
4. Step 4: Simplify right side
   35,330x = 5,742,381,062.25
5. Step 5: Solve for x
   x = 5,742,381,062.25/35,330
6. Step 6: Final answer
   x = 162,535.55