Finding the Third Proportional to 23,789 and 37,046

Step by Step Solution

1. Step 1: Write the proportion equation
   23,789 : 37,046 = 37,046 : x
2. Step 2: Convert to fraction form
   23,789/37,046 = 37,046/x
3. Step 3: Cross multiply
   23,789x = 37,046 × 37,046
4. Step 4: Simplify right side
   23,789x = 1,372,406,116
5. Step 5: Solve for x
   x = 1,372,406,116/23,789
6. Step 6: Final answer
   x = 57,690.79