Finding the Third Proportional to 35,068.50 and 75,969

Step by Step Solution

1. Step 1: Write the proportion equation
   35,068.50 : 75,969 = 75,969 : x
2. Step 2: Convert to fraction form
   35,068.50/75,969 = 75,969/x
3. Step 3: Cross multiply
   35,068.50x = 75,969 × 75,969
4. Step 4: Simplify right side
   35,068.50x = 5,771,288,961
5. Step 5: Solve for x
   x = 5,771,288,961/35,068.50
6. Step 6: Final answer
   x = 164,571.88