Finding the Third Proportional to 38,157.75 and 81,958.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,157.75 : 81,958.50 = 81,958.50 : x
2. Step 2: Convert to fraction form
   38,157.75/81,958.50 = 81,958.50/x
3. Step 3: Cross multiply
   38,157.75x = 81,958.50 × 81,958.50
4. Step 4: Simplify right side
   38,157.75x = 6,717,195,722.25
5. Step 5: Solve for x
   x = 6,717,195,722.25/38,157.75
6. Step 6: Final answer
   x = 176,037.52