Finding the Third Proportional to 33,663.50 and 70,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,663.50 : 70,971.50 = 70,971.50 : x
2. Step 2: Convert to fraction form
   33,663.50/70,971.50 = 70,971.50/x
3. Step 3: Cross multiply
   33,663.50x = 70,971.50 × 70,971.50
4. Step 4: Simplify right side
   33,663.50x = 5,036,953,812.25
5. Step 5: Solve for x
   x = 5,036,953,812.25/33,663.50
6. Step 6: Final answer
   x = 149,626.56