Finding the Third Proportional to 24,098 and 37,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,098 : 37,086.50 = 37,086.50 : x
2. Step 2: Convert to fraction form
   24,098/37,086.50 = 37,086.50/x
3. Step 3: Cross multiply
   24,098x = 37,086.50 × 37,086.50
4. Step 4: Simplify right side
   24,098x = 1,375,408,482.25
5. Step 5: Solve for x
   x = 1,375,408,482.25/24,098
6. Step 6: Final answer
   x = 57,075.63