Finding the Third Proportional to 32,178 and 50,528

Step by Step Solution

1. Step 1: Write the proportion equation
   32,178 : 50,528 = 50,528 : x
2. Step 2: Convert to fraction form
   32,178/50,528 = 50,528/x
3. Step 3: Cross multiply
   32,178x = 50,528 × 50,528
4. Step 4: Simplify right side
   32,178x = 2,553,078,784
5. Step 5: Solve for x
   x = 2,553,078,784/32,178
6. Step 6: Final answer
   x = 79,342.37