Finding the Third Proportional to 35,476 and 52,906

Step by Step Solution

1. Step 1: Write the proportion equation
   35,476 : 52,906 = 52,906 : x
2. Step 2: Convert to fraction form
   35,476/52,906 = 52,906/x
3. Step 3: Cross multiply
   35,476x = 52,906 × 52,906
4. Step 4: Simplify right side
   35,476x = 2,799,044,836
5. Step 5: Solve for x
   x = 2,799,044,836/35,476
6. Step 6: Final answer
   x = 78,899.67