Finding the Third Proportional to 27,729 and 41,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,729 : 41,485.50 = 41,485.50 : x
2. Step 2: Convert to fraction form
   27,729/41,485.50 = 41,485.50/x
3. Step 3: Cross multiply
   27,729x = 41,485.50 × 41,485.50
4. Step 4: Simplify right side
   27,729x = 1,721,046,710.25
5. Step 5: Solve for x
   x = 1,721,046,710.25/27,729
6. Step 6: Final answer
   x = 62,066.67