Finding the Third Proportional to 35,976.38 and 78,503.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35,976.38 : 78,503.63 = 78,503.63 : x
2. Step 2: Convert to fraction form
   35,976.38/78,503.63 = 78,503.63/x
3. Step 3: Cross multiply
   35,976.38x = 78,503.63 × 78,503.63
4. Step 4: Simplify right side
   35,976.38x = 6,162,819,138.14
5. Step 5: Solve for x
   x = 6,162,819,138.14/35,976.38
6. Step 6: Final answer
   x = 171,301.84