Finding the Third Proportional to 52,923 and 72,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,923 : 72,580.50 = 72,580.50 : x
2. Step 2: Convert to fraction form
   52,923/72,580.50 = 72,580.50/x
3. Step 3: Cross multiply
   52,923x = 72,580.50 × 72,580.50
4. Step 4: Simplify right side
   52,923x = 5,267,928,980.25
5. Step 5: Solve for x
   x = 5,267,928,980.25/52,923
6. Step 6: Final answer
   x = 99,539.50