Finding the Third Proportional to 27,630 and 42,669

Step by Step Solution

1. Step 1: Write the proportion equation
   27,630 : 42,669 = 42,669 : x
2. Step 2: Convert to fraction form
   27,630/42,669 = 42,669/x
3. Step 3: Cross multiply
   27,630x = 42,669 × 42,669
4. Step 4: Simplify right side
   27,630x = 1,820,643,561
5. Step 5: Solve for x
   x = 1,820,643,561/27,630
6. Step 6: Final answer
   x = 65,893.72