Finding the Third Proportional to 7,029 and 16,426.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,029 : 16,426.50 = 16,426.50 : x
2. Step 2: Convert to fraction form
   7,029/16,426.50 = 16,426.50/x
3. Step 3: Cross multiply
   7,029x = 16,426.50 × 16,426.50
4. Step 4: Simplify right side
   7,029x = 269,829,902.25
5. Step 5: Solve for x
   x = 269,829,902.25/7,029
6. Step 6: Final answer
   x = 38,388.09