Finding the Third Proportional to 37,778 and 51,124

Step by Step Solution

1. Step 1: Write the proportion equation
   37,778 : 51,124 = 51,124 : x
2. Step 2: Convert to fraction form
   37,778/51,124 = 51,124/x
3. Step 3: Cross multiply
   37,778x = 51,124 × 51,124
4. Step 4: Simplify right side
   37,778x = 2,613,663,376
5. Step 5: Solve for x
   x = 2,613,663,376/37,778
6. Step 6: Final answer
   x = 69,184.80