Finding the Third Proportional to 33,422 and 74,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,422 : 74,316.50 = 74,316.50 : x
2. Step 2: Convert to fraction form
   33,422/74,316.50 = 74,316.50/x
3. Step 3: Cross multiply
   33,422x = 74,316.50 × 74,316.50
4. Step 4: Simplify right side
   33,422x = 5,522,942,172.25
5. Step 5: Solve for x
   x = 5,522,942,172.25/33,422
6. Step 6: Final answer
   x = 165,248.70