Finding the Third Proportional to 35,864 and 78,088

Step by Step Solution

1. Step 1: Write the proportion equation
   35,864 : 78,088 = 78,088 : x
2. Step 2: Convert to fraction form
   35,864/78,088 = 78,088/x
3. Step 3: Cross multiply
   35,864x = 78,088 × 78,088
4. Step 4: Simplify right side
   35,864x = 6,097,735,744
5. Step 5: Solve for x
   x = 6,097,735,744/35,864
6. Step 6: Final answer
   x = 170,023.86