Finding the Third Proportional to 35,433 and 76,320

Step by Step Solution

1. Step 1: Write the proportion equation
   35,433 : 76,320 = 76,320 : x
2. Step 2: Convert to fraction form
   35,433/76,320 = 76,320/x
3. Step 3: Cross multiply
   35,433x = 76,320 × 76,320
4. Step 4: Simplify right side
   35,433x = 5,824,742,400
5. Step 5: Solve for x
   x = 5,824,742,400/35,433
6. Step 6: Final answer
   x = 164,387.50