Finding the Third Proportional to 35,974.50 and 79,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,974.50 : 79,084.50 = 79,084.50 : x
2. Step 2: Convert to fraction form
   35,974.50/79,084.50 = 79,084.50/x
3. Step 3: Cross multiply
   35,974.50x = 79,084.50 × 79,084.50
4. Step 4: Simplify right side
   35,974.50x = 6,254,358,140.25
5. Step 5: Solve for x
   x = 6,254,358,140.25/35,974.50
6. Step 6: Final answer
   x = 173,855.32