Finding the Third Proportional to 38,166.50 and 81,405.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,166.50 : 81,405.25 = 81,405.25 : x
2. Step 2: Convert to fraction form
   38,166.50/81,405.25 = 81,405.25/x
3. Step 3: Cross multiply
   38,166.50x = 81,405.25 × 81,405.25
4. Step 4: Simplify right side
   38,166.50x = 6,626,814,727.56
5. Step 5: Solve for x
   x = 6,626,814,727.56/38,166.50
6. Step 6: Final answer
   x = 173,629.09