Finding the Third Proportional to 35,967 and 78,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,967 : 78,368.50 = 78,368.50 : x
2. Step 2: Convert to fraction form
   35,967/78,368.50 = 78,368.50/x
3. Step 3: Cross multiply
   35,967x = 78,368.50 × 78,368.50
4. Step 4: Simplify right side
   35,967x = 6,141,621,792.25
5. Step 5: Solve for x
   x = 6,141,621,792.25/35,967
6. Step 6: Final answer
   x = 170,757.13