Finding the Third Proportional to 22,878 and 34,378.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,878 : 34,378.50 = 34,378.50 : x
2. Step 2: Convert to fraction form
   22,878/34,378.50 = 34,378.50/x
3. Step 3: Cross multiply
   22,878x = 34,378.50 × 34,378.50
4. Step 4: Simplify right side
   22,878x = 1,181,881,262.25
5. Step 5: Solve for x
   x = 1,181,881,262.25/22,878
6. Step 6: Final answer
   x = 51,660.17