Finding the Third Proportional to 6,470 and 9,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,470 : 9,156.50 = 9,156.50 : x
2. Step 2: Convert to fraction form
   6,470/9,156.50 = 9,156.50/x
3. Step 3: Cross multiply
   6,470x = 9,156.50 × 9,156.50
4. Step 4: Simplify right side
   6,470x = 83,841,492.25
5. Step 5: Solve for x
   x = 83,841,492.25/6,470
6. Step 6: Final answer
   x = 12,958.50