Finding the Third Proportional to 37,549.50 and 76,134.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,549.50 : 76,134.75 = 76,134.75 : x
2. Step 2: Convert to fraction form
   37,549.50/76,134.75 = 76,134.75/x
3. Step 3: Cross multiply
   37,549.50x = 76,134.75 × 76,134.75
4. Step 4: Simplify right side
   37,549.50x = 5,796,500,157.56
5. Step 5: Solve for x
   x = 5,796,500,157.56/37,549.50
6. Step 6: Final answer
   x = 154,369.57