Finding the Third Proportional to 35,812 and 78,043

Step by Step Solution

1. Step 1: Write the proportion equation
   35,812 : 78,043 = 78,043 : x
2. Step 2: Convert to fraction form
   35,812/78,043 = 78,043/x
3. Step 3: Cross multiply
   35,812x = 78,043 × 78,043
4. Step 4: Simplify right side
   35,812x = 6,090,709,849
5. Step 5: Solve for x
   x = 6,090,709,849/35,812
6. Step 6: Final answer
   x = 170,074.55