Finding the Third Proportional to 33,301.50 and 71,341

Step by Step Solution

1. Step 1: Write the proportion equation
   33,301.50 : 71,341 = 71,341 : x
2. Step 2: Convert to fraction form
   33,301.50/71,341 = 71,341/x
3. Step 3: Cross multiply
   33,301.50x = 71,341 × 71,341
4. Step 4: Simplify right side
   33,301.50x = 5,089,538,281
5. Step 5: Solve for x
   x = 5,089,538,281/33,301.50
6. Step 6: Final answer
   x = 152,832.10