Finding the Third Proportional to 37,160 and 72,456

Step by Step Solution

1. Step 1: Write the proportion equation
   37,160 : 72,456 = 72,456 : x
2. Step 2: Convert to fraction form
   37,160/72,456 = 72,456/x
3. Step 3: Cross multiply
   37,160x = 72,456 × 72,456
4. Step 4: Simplify right side
   37,160x = 5,249,871,936
5. Step 5: Solve for x
   x = 5,249,871,936/37,160
6. Step 6: Final answer
   x = 141,277.50