Finding the Third Proportional to 55,834 and 86,521.75

Step by Step Solution

1. Step 1: Write the proportion equation
   55,834 : 86,521.75 = 86,521.75 : x
2. Step 2: Convert to fraction form
   55,834/86,521.75 = 86,521.75/x
3. Step 3: Cross multiply
   55,834x = 86,521.75 × 86,521.75
4. Step 4: Simplify right side
   55,834x = 7,486,013,223.06
5. Step 5: Solve for x
   x = 7,486,013,223.06/55,834
6. Step 6: Final answer
   x = 134,076.25