Finding the Third Proportional to 37,154 and 65,500

Step by Step Solution

1. Step 1: Write the proportion equation
   37,154 : 65,500 = 65,500 : x
2. Step 2: Convert to fraction form
   37,154/65,500 = 65,500/x
3. Step 3: Cross multiply
   37,154x = 65,500 × 65,500
4. Step 4: Simplify right side
   37,154x = 4,290,250,000
5. Step 5: Solve for x
   x = 4,290,250,000/37,154
6. Step 6: Final answer
   x = 115,472.09