Finding the Third Proportional to 36,826 and 78,030.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,826 : 78,030.50 = 78,030.50 : x
2. Step 2: Convert to fraction form
   36,826/78,030.50 = 78,030.50/x
3. Step 3: Cross multiply
   36,826x = 78,030.50 × 78,030.50
4. Step 4: Simplify right side
   36,826x = 6,088,758,930.25
5. Step 5: Solve for x
   x = 6,088,758,930.25/36,826
6. Step 6: Final answer
   x = 165,338.59