Finding the Third Proportional to 24,340 and 35,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,340 : 35,552.50 = 35,552.50 : x
2. Step 2: Convert to fraction form
   24,340/35,552.50 = 35,552.50/x
3. Step 3: Cross multiply
   24,340x = 35,552.50 × 35,552.50
4. Step 4: Simplify right side
   24,340x = 1,263,980,256.25
5. Step 5: Solve for x
   x = 1,263,980,256.25/24,340
6. Step 6: Final answer
   x = 51,930.17