Finding the Third Proportional to 24,106 and 37,099

Step by Step Solution

1. Step 1: Write the proportion equation
   24,106 : 37,099 = 37,099 : x
2. Step 2: Convert to fraction form
   24,106/37,099 = 37,099/x
3. Step 3: Cross multiply
   24,106x = 37,099 × 37,099
4. Step 4: Simplify right side
   24,106x = 1,376,335,801
5. Step 5: Solve for x
   x = 1,376,335,801/24,106
6. Step 6: Final answer
   x = 57,095.15