Finding the Third Proportional to 41,644.13 and 87,935.63

Step by Step Solution

1. Step 1: Write the proportion equation
   41,644.13 : 87,935.63 = 87,935.63 : x
2. Step 2: Convert to fraction form
   41,644.13/87,935.63 = 87,935.63/x
3. Step 3: Cross multiply
   41,644.13x = 87,935.63 × 87,935.63
4. Step 4: Simplify right side
   41,644.13x = 7,732,674,144.14
5. Step 5: Solve for x
   x = 7,732,674,144.14/41,644.13
6. Step 6: Final answer
   x = 185,684.63