Finding the Third Proportional to 37,351 and 55,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,351 : 55,496.50 = 55,496.50 : x
2. Step 2: Convert to fraction form
   37,351/55,496.50 = 55,496.50/x
3. Step 3: Cross multiply
   37,351x = 55,496.50 × 55,496.50
4. Step 4: Simplify right side
   37,351x = 3,079,861,512.25
5. Step 5: Solve for x
   x = 3,079,861,512.25/37,351
6. Step 6: Final answer
   x = 82,457.27