Finding the Third Proportional to 35,843 and 55,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,843 : 55,612.50 = 55,612.50 : x
2. Step 2: Convert to fraction form
   35,843/55,612.50 = 55,612.50/x
3. Step 3: Cross multiply
   35,843x = 55,612.50 × 55,612.50
4. Step 4: Simplify right side
   35,843x = 3,092,750,156.25
5. Step 5: Solve for x
   x = 3,092,750,156.25/35,843
6. Step 6: Final answer
   x = 86,286.03