Finding the Third Proportional to 23,209 and 40,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,209 : 40,463.50 = 40,463.50 : x
2. Step 2: Convert to fraction form
   23,209/40,463.50 = 40,463.50/x
3. Step 3: Cross multiply
   23,209x = 40,463.50 × 40,463.50
4. Step 4: Simplify right side
   23,209x = 1,637,294,832.25
5. Step 5: Solve for x
   x = 1,637,294,832.25/23,209
6. Step 6: Final answer
   x = 70,545.69