Finding the Third Proportional to 35,947.13 and 78,168.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,947.13 : 78,168.38 = 78,168.38 : x
2. Step 2: Convert to fraction form
   35,947.13/78,168.38 = 78,168.38/x
3. Step 3: Cross multiply
   35,947.13x = 78,168.38 × 78,168.38
4. Step 4: Simplify right side
   35,947.13x = 6,110,294,850.14
5. Step 5: Solve for x
   x = 6,110,294,850.14/35,947.13
6. Step 6: Final answer
   x = 169,980.07