Finding the Third Proportional to 37,050 and 72,222

Step by Step Solution

1. Step 1: Write the proportion equation
   37,050 : 72,222 = 72,222 : x
2. Step 2: Convert to fraction form
   37,050/72,222 = 72,222/x
3. Step 3: Cross multiply
   37,050x = 72,222 × 72,222
4. Step 4: Simplify right side
   37,050x = 5,216,017,284
5. Step 5: Solve for x
   x = 5,216,017,284/37,050
6. Step 6: Final answer
   x = 140,783.19