Finding the Third Proportional to 37,344 and 81,056

Step by Step Solution

1. Step 1: Write the proportion equation
   37,344 : 81,056 = 81,056 : x
2. Step 2: Convert to fraction form
   37,344/81,056 = 81,056/x
3. Step 3: Cross multiply
   37,344x = 81,056 × 81,056
4. Step 4: Simplify right side
   37,344x = 6,570,075,136
5. Step 5: Solve for x
   x = 6,570,075,136/37,344
6. Step 6: Final answer
   x = 175,933.89