Finding the Third Proportional to 24,128 and 35,300

Step by Step Solution

1. Step 1: Write the proportion equation
   24,128 : 35,300 = 35,300 : x
2. Step 2: Convert to fraction form
   24,128/35,300 = 35,300/x
3. Step 3: Cross multiply
   24,128x = 35,300 × 35,300
4. Step 4: Simplify right side
   24,128x = 1,246,090,000
5. Step 5: Solve for x
   x = 1,246,090,000/24,128
6. Step 6: Final answer
   x = 51,644.98