Finding the Third Proportional to 16,026 and 34,816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,026 : 34,816.50 = 34,816.50 : x
2. Step 2: Convert to fraction form
   16,026/34,816.50 = 34,816.50/x
3. Step 3: Cross multiply
   16,026x = 34,816.50 × 34,816.50
4. Step 4: Simplify right side
   16,026x = 1,212,188,672.25
5. Step 5: Solve for x
   x = 1,212,188,672.25/16,026
6. Step 6: Final answer
   x = 75,638.88