Finding the Third Proportional to 35,474 and 75,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,474 : 75,767.50 = 75,767.50 : x
2. Step 2: Convert to fraction form
   35,474/75,767.50 = 75,767.50/x
3. Step 3: Cross multiply
   35,474x = 75,767.50 × 75,767.50
4. Step 4: Simplify right side
   35,474x = 5,740,714,056.25
5. Step 5: Solve for x
   x = 5,740,714,056.25/35,474
6. Step 6: Final answer
   x = 161,828.78