Finding the Third Proportional to 35,630.50 and 76,969

Step by Step Solution

1. Step 1: Write the proportion equation
   35,630.50 : 76,969 = 76,969 : x
2. Step 2: Convert to fraction form
   35,630.50/76,969 = 76,969/x
3. Step 3: Cross multiply
   35,630.50x = 76,969 × 76,969
4. Step 4: Simplify right side
   35,630.50x = 5,924,226,961
5. Step 5: Solve for x
   x = 5,924,226,961/35,630.50
6. Step 6: Final answer
   x = 166,268.42