Finding the Third Proportional to 35,722.69 and 78,085.69

Step by Step Solution

1. Step 1: Write the proportion equation
   35,722.69 : 78,085.69 = 78,085.69 : x
2. Step 2: Convert to fraction form
   35,722.69/78,085.69 = 78,085.69/x
3. Step 3: Cross multiply
   35,722.69x = 78,085.69 × 78,085.69
4. Step 4: Simplify right side
   35,722.69x = 6,097,374,592.35
5. Step 5: Solve for x
   x = 6,097,374,592.35/35,722.69
6. Step 6: Final answer
   x = 170,686.33