Finding the Third Proportional to 37,965.75 and 76,734.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,965.75 : 76,734.56 = 76,734.56 : x
2. Step 2: Convert to fraction form
   37,965.75/76,734.56 = 76,734.56/x
3. Step 3: Cross multiply
   37,965.75x = 76,734.56 × 76,734.56
4. Step 4: Simplify right side
   37,965.75x = 5,888,193,082.07
5. Step 5: Solve for x
   x = 5,888,193,082.07/37,965.75
6. Step 6: Final answer
   x = 155,092.24