Finding the Third Proportional to 37,673 and 51,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,673 : 51,164.50 = 51,164.50 : x
2. Step 2: Convert to fraction form
   37,673/51,164.50 = 51,164.50/x
3. Step 3: Cross multiply
   37,673x = 51,164.50 × 51,164.50
4. Step 4: Simplify right side
   37,673x = 2,617,806,060.25
5. Step 5: Solve for x
   x = 2,617,806,060.25/37,673
6. Step 6: Final answer
   x = 69,487.59