Finding the Third Proportional to 33,430 and 72,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,430 : 72,084.50 = 72,084.50 : x
2. Step 2: Convert to fraction form
   33,430/72,084.50 = 72,084.50/x
3. Step 3: Cross multiply
   33,430x = 72,084.50 × 72,084.50
4. Step 4: Simplify right side
   33,430x = 5,196,175,140.25
5. Step 5: Solve for x
   x = 5,196,175,140.25/33,430
6. Step 6: Final answer
   x = 155,434.49