Finding the Third Proportional to 37,145 and 81,064

Step by Step Solution

1. Step 1: Write the proportion equation
   37,145 : 81,064 = 81,064 : x
2. Step 2: Convert to fraction form
   37,145/81,064 = 81,064/x
3. Step 3: Cross multiply
   37,145x = 81,064 × 81,064
4. Step 4: Simplify right side
   37,145x = 6,571,372,096
5. Step 5: Solve for x
   x = 6,571,372,096/37,145
6. Step 6: Final answer
   x = 176,911.35