Finding the Third Proportional to 6,164.86 and 9,152.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164.86 : 9,152.16 = 9,152.16 : x
2. Step 2: Convert to fraction form
   6,164.86/9,152.16 = 9,152.16/x
3. Step 3: Cross multiply
   6,164.86x = 9,152.16 × 9,152.16
4. Step 4: Simplify right side
   6,164.86x = 83,761,964.02
5. Step 5: Solve for x
   x = 83,761,964.02/6,164.86
6. Step 6: Final answer
   x = 13,587.00