Finding the Third Proportional to 25,143 and 33,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,143 : 33,538.50 = 33,538.50 : x
2. Step 2: Convert to fraction form
   25,143/33,538.50 = 33,538.50/x
3. Step 3: Cross multiply
   25,143x = 33,538.50 × 33,538.50
4. Step 4: Simplify right side
   25,143x = 1,124,830,982.25
5. Step 5: Solve for x
   x = 1,124,830,982.25/25,143
6. Step 6: Final answer
   x = 44,737.34