Finding the Third Proportional to 53,551 and 80,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,551 : 80,164.50 = 80,164.50 : x
2. Step 2: Convert to fraction form
   53,551/80,164.50 = 80,164.50/x
3. Step 3: Cross multiply
   53,551x = 80,164.50 × 80,164.50
4. Step 4: Simplify right side
   53,551x = 6,426,347,060.25
5. Step 5: Solve for x
   x = 6,426,347,060.25/53,551
6. Step 6: Final answer
   x = 120,004.24