Finding the Third Proportional to 10,424 and 21,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 21,272.50 = 21,272.50 : x
2. Step 2: Convert to fraction form
   10,424/21,272.50 = 21,272.50/x
3. Step 3: Cross multiply
   10,424x = 21,272.50 × 21,272.50
4. Step 4: Simplify right side
   10,424x = 452,519,256.25
5. Step 5: Solve for x
   x = 452,519,256.25/10,424
6. Step 6: Final answer
   x = 43,411.29