Finding the Third Proportional to 37,963.50 and 75,882

Step by Step Solution

1. Step 1: Write the proportion equation
   37,963.50 : 75,882 = 75,882 : x
2. Step 2: Convert to fraction form
   37,963.50/75,882 = 75,882/x
3. Step 3: Cross multiply
   37,963.50x = 75,882 × 75,882
4. Step 4: Simplify right side
   37,963.50x = 5,758,077,924
5. Step 5: Solve for x
   x = 5,758,077,924/37,963.50
6. Step 6: Final answer
   x = 151,674.05