Finding the Third Proportional to 35,943.75 and 78,210.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35,943.75 : 78,210.56 = 78,210.56 : x
2. Step 2: Convert to fraction form
   35,943.75/78,210.56 = 78,210.56/x
3. Step 3: Cross multiply
   35,943.75x = 78,210.56 × 78,210.56
4. Step 4: Simplify right side
   35,943.75x = 6,116,892,086.57
5. Step 5: Solve for x
   x = 6,116,892,086.57/35,943.75
6. Step 6: Final answer
   x = 170,179.57