Finding the Third Proportional to 7,466.63 and 10,146.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,466.63 : 10,146.38 = 10,146.38 : x
2. Step 2: Convert to fraction form
   7,466.63/10,146.38 = 10,146.38/x
3. Step 3: Cross multiply
   7,466.63x = 10,146.38 × 10,146.38
4. Step 4: Simplify right side
   7,466.63x = 102,948,925.64
5. Step 5: Solve for x
   x = 102,948,925.64/7,466.63
6. Step 6: Final answer
   x = 13,787.88