Finding the Third Proportional to 52,866 and 76,381.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,866 : 76,381.50 = 76,381.50 : x
2. Step 2: Convert to fraction form
   52,866/76,381.50 = 76,381.50/x
3. Step 3: Cross multiply
   52,866x = 76,381.50 × 76,381.50
4. Step 4: Simplify right side
   52,866x = 5,834,133,542.25
5. Step 5: Solve for x
   x = 5,834,133,542.25/52,866
6. Step 6: Final answer
   x = 110,357.01