Finding the Third Proportional to 14,310 and 21,434.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14,310 : 21,434.63 = 21,434.63 : x
2. Step 2: Convert to fraction form
   14,310/21,434.63 = 21,434.63/x
3. Step 3: Cross multiply
   14,310x = 21,434.63 × 21,434.63
4. Step 4: Simplify right side
   14,310x = 459,443,148.89
5. Step 5: Solve for x
   x = 459,443,148.89/14,310
6. Step 6: Final answer
   x = 32,106.44