Finding the Third Proportional to 27,967 and 42,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,967 : 42,679.50 = 42,679.50 : x
2. Step 2: Convert to fraction form
   27,967/42,679.50 = 42,679.50/x
3. Step 3: Cross multiply
   27,967x = 42,679.50 × 42,679.50
4. Step 4: Simplify right side
   27,967x = 1,821,539,720.25
5. Step 5: Solve for x
   x = 1,821,539,720.25/27,967
6. Step 6: Final answer
   x = 65,131.75