Finding the Third Proportional to 31,536 and 42,261.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,536 : 42,261.75 = 42,261.75 : x
2. Step 2: Convert to fraction form
   31,536/42,261.75 = 42,261.75/x
3. Step 3: Cross multiply
   31,536x = 42,261.75 × 42,261.75
4. Step 4: Simplify right side
   31,536x = 1,786,055,513.06
5. Step 5: Solve for x
   x = 1,786,055,513.06/31,536
6. Step 6: Final answer
   x = 56,635.45