Finding the Third Proportional to 38,891.50 and 84,009.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,891.50 : 84,009.75 = 84,009.75 : x
2. Step 2: Convert to fraction form
   38,891.50/84,009.75 = 84,009.75/x
3. Step 3: Cross multiply
   38,891.50x = 84,009.75 × 84,009.75
4. Step 4: Simplify right side
   38,891.50x = 7,057,638,095.06
5. Step 5: Solve for x
   x = 7,057,638,095.06/38,891.50
6. Step 6: Final answer
   x = 181,469.94