Finding the Third Proportional to 24,546 and 37,095

Step by Step Solution

1. Step 1: Write the proportion equation
   24,546 : 37,095 = 37,095 : x
2. Step 2: Convert to fraction form
   24,546/37,095 = 37,095/x
3. Step 3: Cross multiply
   24,546x = 37,095 × 37,095
4. Step 4: Simplify right side
   24,546x = 1,376,039,025
5. Step 5: Solve for x
   x = 1,376,039,025/24,546
6. Step 6: Final answer
   x = 56,059.60