Finding the Third Proportional to 8,470 and 12,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,470 : 12,767.50 = 12,767.50 : x
2. Step 2: Convert to fraction form
   8,470/12,767.50 = 12,767.50/x
3. Step 3: Cross multiply
   8,470x = 12,767.50 × 12,767.50
4. Step 4: Simplify right side
   8,470x = 163,009,056.25
5. Step 5: Solve for x
   x = 163,009,056.25/8,470
6. Step 6: Final answer
   x = 19,245.46