Finding the Third Proportional to 35,685 and 55,435.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,685 : 55,435.50 = 55,435.50 : x
2. Step 2: Convert to fraction form
   35,685/55,435.50 = 55,435.50/x
3. Step 3: Cross multiply
   35,685x = 55,435.50 × 55,435.50
4. Step 4: Simplify right side
   35,685x = 3,073,094,660.25
5. Step 5: Solve for x
   x = 3,073,094,660.25/35,685
6. Step 6: Final answer
   x = 86,117.27