Finding the Third Proportional to 23,724 and 37,023.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,724 : 37,023.75 = 37,023.75 : x
2. Step 2: Convert to fraction form
   23,724/37,023.75 = 37,023.75/x
3. Step 3: Cross multiply
   23,724x = 37,023.75 × 37,023.75
4. Step 4: Simplify right side
   23,724x = 1,370,758,064.06
5. Step 5: Solve for x
   x = 1,370,758,064.06/23,724
6. Step 6: Final answer
   x = 57,779.38