Finding the Third Proportional to 27,684 and 64,662.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,684 : 64,662.75 = 64,662.75 : x
2. Step 2: Convert to fraction form
   27,684/64,662.75 = 64,662.75/x
3. Step 3: Cross multiply
   27,684x = 64,662.75 × 64,662.75
4. Step 4: Simplify right side
   27,684x = 4,181,271,237.56
5. Step 5: Solve for x
   x = 4,181,271,237.56/27,684
6. Step 6: Final answer
   x = 151,035.66