Finding the Third Proportional to 55,644 and 86,172

Step by Step Solution

1. Step 1: Write the proportion equation
   55,644 : 86,172 = 86,172 : x
2. Step 2: Convert to fraction form
   55,644/86,172 = 86,172/x
3. Step 3: Cross multiply
   55,644x = 86,172 × 86,172
4. Step 4: Simplify right side
   55,644x = 7,425,613,584
5. Step 5: Solve for x
   x = 7,425,613,584/55,644
6. Step 6: Final answer
   x = 133,448.59