Finding the Third Proportional to 23,464 and 35,152

Step by Step Solution

1. Step 1: Write the proportion equation
   23,464 : 35,152 = 35,152 : x
2. Step 2: Convert to fraction form
   23,464/35,152 = 35,152/x
3. Step 3: Cross multiply
   23,464x = 35,152 × 35,152
4. Step 4: Simplify right side
   23,464x = 1,235,663,104
5. Step 5: Solve for x
   x = 1,235,663,104/23,464
6. Step 6: Final answer
   x = 52,662.08