Finding the Third Proportional to 51,577 and 69,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,577 : 69,589.50 = 69,589.50 : x
2. Step 2: Convert to fraction form
   51,577/69,589.50 = 69,589.50/x
3. Step 3: Cross multiply
   51,577x = 69,589.50 × 69,589.50
4. Step 4: Simplify right side
   51,577x = 4,842,698,510.25
5. Step 5: Solve for x
   x = 4,842,698,510.25/51,577
6. Step 6: Final answer
   x = 93,892.60