Finding the Third Proportional to 37,733 and 51,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,733 : 51,063.50 = 51,063.50 : x
2. Step 2: Convert to fraction form
   37,733/51,063.50 = 51,063.50/x
3. Step 3: Cross multiply
   37,733x = 51,063.50 × 51,063.50
4. Step 4: Simplify right side
   37,733x = 2,607,481,032.25
5. Step 5: Solve for x
   x = 2,607,481,032.25/37,733
6. Step 6: Final answer
   x = 69,103.46