Finding the Third Proportional to 35,820 and 73,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,820 : 73,435.50 = 73,435.50 : x
2. Step 2: Convert to fraction form
   35,820/73,435.50 = 73,435.50/x
3. Step 3: Cross multiply
   35,820x = 73,435.50 × 73,435.50
4. Step 4: Simplify right side
   35,820x = 5,392,772,660.25
5. Step 5: Solve for x
   x = 5,392,772,660.25/35,820
6. Step 6: Final answer
   x = 150,552.00