Finding the Third Proportional to 24,391 and 35,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,391 : 35,719.50 = 35,719.50 : x
2. Step 2: Convert to fraction form
   24,391/35,719.50 = 35,719.50/x
3. Step 3: Cross multiply
   24,391x = 35,719.50 × 35,719.50
4. Step 4: Simplify right side
   24,391x = 1,275,882,680.25
5. Step 5: Solve for x
   x = 1,275,882,680.25/24,391
6. Step 6: Final answer
   x = 52,309.57