Finding the Third Proportional to 27,589 and 42,796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,589 : 42,796.75 = 42,796.75 : x
2. Step 2: Convert to fraction form
   27,589/42,796.75 = 42,796.75/x
3. Step 3: Cross multiply
   27,589x = 42,796.75 × 42,796.75
4. Step 4: Simplify right side
   27,589x = 1,831,561,810.56
5. Step 5: Solve for x
   x = 1,831,561,810.56/27,589
6. Step 6: Final answer
   x = 66,387.39