Finding the Third Proportional to 16,322 and 34,777

Step by Step Solution

1. Step 1: Write the proportion equation
   16,322 : 34,777 = 34,777 : x
2. Step 2: Convert to fraction form
   16,322/34,777 = 34,777/x
3. Step 3: Cross multiply
   16,322x = 34,777 × 34,777
4. Step 4: Simplify right side
   16,322x = 1,209,439,729
5. Step 5: Solve for x
   x = 1,209,439,729/16,322
6. Step 6: Final answer
   x = 74,098.75