Finding the Third Proportional to 38,181.75 and 81,835.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,181.75 : 81,835.50 = 81,835.50 : x
2. Step 2: Convert to fraction form
   38,181.75/81,835.50 = 81,835.50/x
3. Step 3: Cross multiply
   38,181.75x = 81,835.50 × 81,835.50
4. Step 4: Simplify right side
   38,181.75x = 6,697,049,060.25
5. Step 5: Solve for x
   x = 6,697,049,060.25/38,181.75
6. Step 6: Final answer
   x = 175,399.22