Finding the Third Proportional to 35,968 and 52,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,968 : 52,648.50 = 52,648.50 : x
2. Step 2: Convert to fraction form
   35,968/52,648.50 = 52,648.50/x
3. Step 3: Cross multiply
   35,968x = 52,648.50 × 52,648.50
4. Step 4: Simplify right side
   35,968x = 2,771,864,552.25
5. Step 5: Solve for x
   x = 2,771,864,552.25/35,968
6. Step 6: Final answer
   x = 77,064.74