Finding the Third Proportional to 32,322 and 67,803

Step by Step Solution

1. Step 1: Write the proportion equation
   32,322 : 67,803 = 67,803 : x
2. Step 2: Convert to fraction form
   32,322/67,803 = 67,803/x
3. Step 3: Cross multiply
   32,322x = 67,803 × 67,803
4. Step 4: Simplify right side
   32,322x = 4,597,246,809
5. Step 5: Solve for x
   x = 4,597,246,809/32,322
6. Step 6: Final answer
   x = 142,232.75