Finding the Third Proportional to 23,814 and 37,670.06

Step by Step Solution

1. Step 1: Write the proportion equation
   23,814 : 37,670.06 = 37,670.06 : x
2. Step 2: Convert to fraction form
   23,814/37,670.06 = 37,670.06/x
3. Step 3: Cross multiply
   23,814x = 37,670.06 × 37,670.06
4. Step 4: Simplify right side
   23,814x = 1,419,033,608.75
5. Step 5: Solve for x
   x = 1,419,033,608.75/23,814
6. Step 6: Final answer
   x = 59,588.21