Finding the Third Proportional to 35,842.50 and 78,822

Step by Step Solution

1. Step 1: Write the proportion equation
   35,842.50 : 78,822 = 78,822 : x
2. Step 2: Convert to fraction form
   35,842.50/78,822 = 78,822/x
3. Step 3: Cross multiply
   35,842.50x = 78,822 × 78,822
4. Step 4: Simplify right side
   35,842.50x = 6,212,907,684
5. Step 5: Solve for x
   x = 6,212,907,684/35,842.50
6. Step 6: Final answer
   x = 173,339.13