Finding the Third Proportional to 37,056 and 57,464

Step by Step Solution

1. Step 1: Write the proportion equation
   37,056 : 57,464 = 57,464 : x
2. Step 2: Convert to fraction form
   37,056/57,464 = 57,464/x
3. Step 3: Cross multiply
   37,056x = 57,464 × 57,464
4. Step 4: Simplify right side
   37,056x = 3,302,111,296
5. Step 5: Solve for x
   x = 3,302,111,296/37,056
6. Step 6: Final answer
   x = 89,111.38