Finding the Third Proportional to 22,345 and 34,565

Step by Step Solution

1. Step 1: Write the proportion equation
   22,345 : 34,565 = 34,565 : x
2. Step 2: Convert to fraction form
   22,345/34,565 = 34,565/x
3. Step 3: Cross multiply
   22,345x = 34,565 × 34,565
4. Step 4: Simplify right side
   22,345x = 1,194,739,225
5. Step 5: Solve for x
   x = 1,194,739,225/22,345
6. Step 6: Final answer
   x = 53,467.86