Finding the Third Proportional to 37,584 and 78,813

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 78,813 = 78,813 : x
2. Step 2: Convert to fraction form
   37,584/78,813 = 78,813/x
3. Step 3: Cross multiply
   37,584x = 78,813 × 78,813
4. Step 4: Simplify right side
   37,584x = 6,211,488,969
5. Step 5: Solve for x
   x = 6,211,488,969/37,584
6. Step 6: Final answer
   x = 165,269.50