Finding the Third Proportional to 35,919.38 and 78,056.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,919.38 : 78,056.25 = 78,056.25 : x
2. Step 2: Convert to fraction form
   35,919.38/78,056.25 = 78,056.25/x
3. Step 3: Cross multiply
   35,919.38x = 78,056.25 × 78,056.25
4. Step 4: Simplify right side
   35,919.38x = 6,092,778,164.06
5. Step 5: Solve for x
   x = 6,092,778,164.06/35,919.38
6. Step 6: Final answer
   x = 169,623.72