Finding the Third Proportional to 36,856.69 and 78,971.63

Step by Step Solution

1. Step 1: Write the proportion equation
   36,856.69 : 78,971.63 = 78,971.63 : x
2. Step 2: Convert to fraction form
   36,856.69/78,971.63 = 78,971.63/x
3. Step 3: Cross multiply
   36,856.69x = 78,971.63 × 78,971.63
4. Step 4: Simplify right side
   36,856.69x = 6,236,517,555.14
5. Step 5: Solve for x
   x = 6,236,517,555.14/36,856.69
6. Step 6: Final answer
   x = 169,209.93