Finding the Third Proportional to 24,594.75 and 37,184.63

Step by Step Solution

1. Step 1: Write the proportion equation
   24,594.75 : 37,184.63 = 37,184.63 : x
2. Step 2: Convert to fraction form
   24,594.75/37,184.63 = 37,184.63/x
3. Step 3: Cross multiply
   24,594.75x = 37,184.63 × 37,184.63
4. Step 4: Simplify right side
   24,594.75x = 1,382,696,336.39
5. Step 5: Solve for x
   x = 1,382,696,336.39/24,594.75
6. Step 6: Final answer
   x = 56,219.17