Finding the Third Proportional to 32,294 and 50,354

Step by Step Solution

1. Step 1: Write the proportion equation
   32,294 : 50,354 = 50,354 : x
2. Step 2: Convert to fraction form
   32,294/50,354 = 50,354/x
3. Step 3: Cross multiply
   32,294x = 50,354 × 50,354
4. Step 4: Simplify right side
   32,294x = 2,535,525,316
5. Step 5: Solve for x
   x = 2,535,525,316/32,294
6. Step 6: Final answer
   x = 78,513.82