Finding the Third Proportional to 24,300 and 37,525.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,300 : 37,525.50 = 37,525.50 : x
2. Step 2: Convert to fraction form
   24,300/37,525.50 = 37,525.50/x
3. Step 3: Cross multiply
   24,300x = 37,525.50 × 37,525.50
4. Step 4: Simplify right side
   24,300x = 1,408,163,150.25
5. Step 5: Solve for x
   x = 1,408,163,150.25/24,300
6. Step 6: Final answer
   x = 57,949.10