Finding the Third Proportional to 37,146 and 56,034

Step by Step Solution

1. Step 1: Write the proportion equation
   37,146 : 56,034 = 56,034 : x
2. Step 2: Convert to fraction form
   37,146/56,034 = 56,034/x
3. Step 3: Cross multiply
   37,146x = 56,034 × 56,034
4. Step 4: Simplify right side
   37,146x = 3,139,809,156
5. Step 5: Solve for x
   x = 3,139,809,156/37,146
6. Step 6: Final answer
   x = 84,526.17