Finding the Third Proportional to 37,216 and 53,056

Step by Step Solution

1. Step 1: Write the proportion equation
   37,216 : 53,056 = 53,056 : x
2. Step 2: Convert to fraction form
   37,216/53,056 = 53,056/x
3. Step 3: Cross multiply
   37,216x = 53,056 × 53,056
4. Step 4: Simplify right side
   37,216x = 2,814,939,136
5. Step 5: Solve for x
   x = 2,814,939,136/37,216
6. Step 6: Final answer
   x = 75,637.87