Finding the Third Proportional to 102,021.50 and 153,033

Step by Step Solution

1. Step 1: Write the proportion equation
   102,021.50 : 153,033 = 153,033 : x
2. Step 2: Convert to fraction form
   102,021.50/153,033 = 153,033/x
3. Step 3: Cross multiply
   102,021.50x = 153,033 × 153,033
4. Step 4: Simplify right side
   102,021.50x = 23,419,099,089
5. Step 5: Solve for x
   x = 23,419,099,089/102,021.50
6. Step 6: Final answer
   x = 229,550.63