Finding the Third Proportional to 38,409.19 and 78,382.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,409.19 : 78,382.69 = 78,382.69 : x
2. Step 2: Convert to fraction form
   38,409.19/78,382.69 = 78,382.69/x
3. Step 3: Cross multiply
   38,409.19x = 78,382.69 × 78,382.69
4. Step 4: Simplify right side
   38,409.19x = 6,143,845,699.72
5. Step 5: Solve for x
   x = 6,143,845,699.72/38,409.19
6. Step 6: Final answer
   x = 159,957.71