Finding the Third Proportional to 14,419 and 21,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,419 : 21,070.50 = 21,070.50 : x
2. Step 2: Convert to fraction form
   14,419/21,070.50 = 21,070.50/x
3. Step 3: Cross multiply
   14,419x = 21,070.50 × 21,070.50
4. Step 4: Simplify right side
   14,419x = 443,965,970.25
5. Step 5: Solve for x
   x = 443,965,970.25/14,419
6. Step 6: Final answer
   x = 30,790.34