Finding the Third Proportional to 27,738 and 42,635.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,738 : 42,635.25 = 42,635.25 : x
2. Step 2: Convert to fraction form
   27,738/42,635.25 = 42,635.25/x
3. Step 3: Cross multiply
   27,738x = 42,635.25 × 42,635.25
4. Step 4: Simplify right side
   27,738x = 1,817,764,542.56
5. Step 5: Solve for x
   x = 1,817,764,542.56/27,738
6. Step 6: Final answer
   x = 65,533.37