Finding the Third Proportional to 27,969 and 42,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,969 : 42,682.50 = 42,682.50 : x
2. Step 2: Convert to fraction form
   27,969/42,682.50 = 42,682.50/x
3. Step 3: Cross multiply
   27,969x = 42,682.50 × 42,682.50
4. Step 4: Simplify right side
   27,969x = 1,821,795,806.25
5. Step 5: Solve for x
   x = 1,821,795,806.25/27,969
6. Step 6: Final answer
   x = 65,136.25