Finding the Third Proportional to 25,142.25 and 52,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,142.25 : 52,369.50 = 52,369.50 : x
2. Step 2: Convert to fraction form
   25,142.25/52,369.50 = 52,369.50/x
3. Step 3: Cross multiply
   25,142.25x = 52,369.50 × 52,369.50
4. Step 4: Simplify right side
   25,142.25x = 2,742,564,530.25
5. Step 5: Solve for x
   x = 2,742,564,530.25/25,142.25
6. Step 6: Final answer
   x = 109,081.91