Finding the Third Proportional to 24,916.50 and 35,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,916.50 : 35,538.75 = 35,538.75 : x
2. Step 2: Convert to fraction form
   24,916.50/35,538.75 = 35,538.75/x
3. Step 3: Cross multiply
   24,916.50x = 35,538.75 × 35,538.75
4. Step 4: Simplify right side
   24,916.50x = 1,263,002,751.56
5. Step 5: Solve for x
   x = 1,263,002,751.56/24,916.50
6. Step 6: Final answer
   x = 50,689.41