Finding the Third Proportional to 14,322 and 32,301

Step by Step Solution

1. Step 1: Write the proportion equation
   14,322 : 32,301 = 32,301 : x
2. Step 2: Convert to fraction form
   14,322/32,301 = 32,301/x
3. Step 3: Cross multiply
   14,322x = 32,301 × 32,301
4. Step 4: Simplify right side
   14,322x = 1,043,354,601
5. Step 5: Solve for x
   x = 1,043,354,601/14,322
6. Step 6: Final answer
   x = 72,849.78