Finding the Third Proportional to 27,692 and 59,322

Step by Step Solution

1. Step 1: Write the proportion equation
   27,692 : 59,322 = 59,322 : x
2. Step 2: Convert to fraction form
   27,692/59,322 = 59,322/x
3. Step 3: Cross multiply
   27,692x = 59,322 × 59,322
4. Step 4: Simplify right side
   27,692x = 3,519,099,684
5. Step 5: Solve for x
   x = 3,519,099,684/27,692
6. Step 6: Final answer
   x = 127,080.01