Finding the Third Proportional to 27,840.50 and 42,642.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,840.50 : 42,642.75 = 42,642.75 : x
2. Step 2: Convert to fraction form
   27,840.50/42,642.75 = 42,642.75/x
3. Step 3: Cross multiply
   27,840.50x = 42,642.75 × 42,642.75
4. Step 4: Simplify right side
   27,840.50x = 1,818,404,127.56
5. Step 5: Solve for x
   x = 1,818,404,127.56/27,840.50
6. Step 6: Final answer
   x = 65,315.07