Finding the Third Proportional to 24,900 and 35,460

Step by Step Solution

1. Step 1: Write the proportion equation
   24,900 : 35,460 = 35,460 : x
2. Step 2: Convert to fraction form
   24,900/35,460 = 35,460/x
3. Step 3: Cross multiply
   24,900x = 35,460 × 35,460
4. Step 4: Simplify right side
   24,900x = 1,257,411,600
5. Step 5: Solve for x
   x = 1,257,411,600/24,900
6. Step 6: Final answer
   x = 50,498.46