Finding the Third Proportional to 35,778 and 47,061

Step by Step Solution

1. Step 1: Write the proportion equation
   35,778 : 47,061 = 47,061 : x
2. Step 2: Convert to fraction form
   35,778/47,061 = 47,061/x
3. Step 3: Cross multiply
   35,778x = 47,061 × 47,061
4. Step 4: Simplify right side
   35,778x = 2,214,737,721
5. Step 5: Solve for x
   x = 2,214,737,721/35,778
6. Step 6: Final answer
   x = 61,902.22