Finding the Third Proportional to 24,189 and 37,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,189 : 37,361.50 = 37,361.50 : x
2. Step 2: Convert to fraction form
   24,189/37,361.50 = 37,361.50/x
3. Step 3: Cross multiply
   24,189x = 37,361.50 × 37,361.50
4. Step 4: Simplify right side
   24,189x = 1,395,881,682.25
5. Step 5: Solve for x
   x = 1,395,881,682.25/24,189
6. Step 6: Final answer
   x = 57,707.29