Finding the Third Proportional to 32,294 and 67,558

Step by Step Solution

1. Step 1: Write the proportion equation
   32,294 : 67,558 = 67,558 : x
2. Step 2: Convert to fraction form
   32,294/67,558 = 67,558/x
3. Step 3: Cross multiply
   32,294x = 67,558 × 67,558
4. Step 4: Simplify right side
   32,294x = 4,564,083,364
5. Step 5: Solve for x
   x = 4,564,083,364/32,294
6. Step 6: Final answer
   x = 141,329.14