Finding the Third Proportional to 37,785 and 52,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,785 : 52,825.50 = 52,825.50 : x
2. Step 2: Convert to fraction form
   37,785/52,825.50 = 52,825.50/x
3. Step 3: Cross multiply
   37,785x = 52,825.50 × 52,825.50
4. Step 4: Simplify right side
   37,785x = 2,790,533,450.25
5. Step 5: Solve for x
   x = 2,790,533,450.25/37,785
6. Step 6: Final answer
   x = 73,852.94