Finding the Third Proportional to 37,219.25 and 81,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,219.25 : 81,119.50 = 81,119.50 : x
2. Step 2: Convert to fraction form
   37,219.25/81,119.50 = 81,119.50/x
3. Step 3: Cross multiply
   37,219.25x = 81,119.50 × 81,119.50
4. Step 4: Simplify right side
   37,219.25x = 6,580,373,280.25
5. Step 5: Solve for x
   x = 6,580,373,280.25/37,219.25
6. Step 6: Final answer
   x = 176,800.27