Finding the Third Proportional to 37,556 and 57,748

Step by Step Solution

1. Step 1: Write the proportion equation
   37,556 : 57,748 = 57,748 : x
2. Step 2: Convert to fraction form
   37,556/57,748 = 57,748/x
3. Step 3: Cross multiply
   37,556x = 57,748 × 57,748
4. Step 4: Simplify right side
   37,556x = 3,334,831,504
5. Step 5: Solve for x
   x = 3,334,831,504/37,556
6. Step 6: Final answer
   x = 88,796.24