Finding the Third Proportional to 19,209 and 29,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,209 : 29,665.50 = 29,665.50 : x
2. Step 2: Convert to fraction form
   19,209/29,665.50 = 29,665.50/x
3. Step 3: Cross multiply
   19,209x = 29,665.50 × 29,665.50
4. Step 4: Simplify right side
   19,209x = 880,041,890.25
5. Step 5: Solve for x
   x = 880,041,890.25/19,209
6. Step 6: Final answer
   x = 45,814.04