Finding the Third Proportional to 24,102 and 37,069.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,102 : 37,069.25 = 37,069.25 : x
2. Step 2: Convert to fraction form
   24,102/37,069.25 = 37,069.25/x
3. Step 3: Cross multiply
   24,102x = 37,069.25 × 37,069.25
4. Step 4: Simplify right side
   24,102x = 1,374,129,295.56
5. Step 5: Solve for x
   x = 1,374,129,295.56/24,102
6. Step 6: Final answer
   x = 57,013.08