Finding the Third Proportional to 14,602.78 and 23,302.69

Step by Step Solution

1. Step 1: Write the proportion equation
   14,602.78 : 23,302.69 = 23,302.69 : x
2. Step 2: Convert to fraction form
   14,602.78/23,302.69 = 23,302.69/x
3. Step 3: Cross multiply
   14,602.78x = 23,302.69 × 23,302.69
4. Step 4: Simplify right side
   14,602.78x = 543,015,244.72
5. Step 5: Solve for x
   x = 543,015,244.72/14,602.78
6. Step 6: Final answer
   x = 37,185.74