Finding the Third Proportional to 35,678 and 54,860.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,678 : 54,860.50 = 54,860.50 : x
2. Step 2: Convert to fraction form
   35,678/54,860.50 = 54,860.50/x
3. Step 3: Cross multiply
   35,678x = 54,860.50 × 54,860.50
4. Step 4: Simplify right side
   35,678x = 3,009,674,460.25
5. Step 5: Solve for x
   x = 3,009,674,460.25/35,678
6. Step 6: Final answer
   x = 84,356.59