Finding the Third Proportional to 27,634 and 42,550

Step by Step Solution

1. Step 1: Write the proportion equation
   27,634 : 42,550 = 42,550 : x
2. Step 2: Convert to fraction form
   27,634/42,550 = 42,550/x
3. Step 3: Cross multiply
   27,634x = 42,550 × 42,550
4. Step 4: Simplify right side
   27,634x = 1,810,502,500
5. Step 5: Solve for x
   x = 1,810,502,500/27,634
6. Step 6: Final answer
   x = 65,517.21