Finding the Third Proportional to 35,776.69 and 52,624.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,776.69 : 52,624.69 = 52,624.69 : x
2. Step 2: Convert to fraction form
   35,776.69/52,624.69 = 52,624.69/x
3. Step 3: Cross multiply
   35,776.69x = 52,624.69 × 52,624.69
4. Step 4: Simplify right side
   35,776.69x = 2,769,357,734.47
5. Step 5: Solve for x
   x = 2,769,357,734.47/35,776.69
6. Step 6: Final answer
   x = 77,406.77