Finding the Third Proportional to 22,316 and 32,578

Step by Step Solution

1. Step 1: Write the proportion equation
   22,316 : 32,578 = 32,578 : x
2. Step 2: Convert to fraction form
   22,316/32,578 = 32,578/x
3. Step 3: Cross multiply
   22,316x = 32,578 × 32,578
4. Step 4: Simplify right side
   22,316x = 1,061,326,084
5. Step 5: Solve for x
   x = 1,061,326,084/22,316
6. Step 6: Final answer
   x = 47,558.97