Finding the Third Proportional to 38,323.13 and 81,210.09

Step by Step Solution

1. Step 1: Write the proportion equation
   38,323.13 : 81,210.09 = 81,210.09 : x
2. Step 2: Convert to fraction form
   38,323.13/81,210.09 = 81,210.09/x
3. Step 3: Cross multiply
   38,323.13x = 81,210.09 × 81,210.09
4. Step 4: Simplify right side
   38,323.13x = 6,595,079,326.88
5. Step 5: Solve for x
   x = 6,595,079,326.88/38,323.13
6. Step 6: Final answer
   x = 172,091.38