Finding the Third Proportional to 38,477.53 and 78,868.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,477.53 : 78,868.69 = 78,868.69 : x
2. Step 2: Convert to fraction form
   38,477.53/78,868.69 = 78,868.69/x
3. Step 3: Cross multiply
   38,477.53x = 78,868.69 × 78,868.69
4. Step 4: Simplify right side
   38,477.53x = 6,220,269,867.97
5. Step 5: Solve for x
   x = 6,220,269,867.97/38,477.53
6. Step 6: Final answer
   x = 161,659.80