Finding the Third Proportional to 23,400 and 35,122.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,400 : 35,122.50 = 35,122.50 : x
2. Step 2: Convert to fraction form
   23,400/35,122.50 = 35,122.50/x
3. Step 3: Cross multiply
   23,400x = 35,122.50 × 35,122.50
4. Step 4: Simplify right side
   23,400x = 1,233,590,006.25
5. Step 5: Solve for x
   x = 1,233,590,006.25/23,400
6. Step 6: Final answer
   x = 52,717.52