Finding the Third Proportional to 48,574.50 and 77,237.75

Step by Step Solution

1. Step 1: Write the proportion equation
   48,574.50 : 77,237.75 = 77,237.75 : x
2. Step 2: Convert to fraction form
   48,574.50/77,237.75 = 77,237.75/x
3. Step 3: Cross multiply
   48,574.50x = 77,237.75 × 77,237.75
4. Step 4: Simplify right side
   48,574.50x = 5,965,670,025.06
5. Step 5: Solve for x
   x = 5,965,670,025.06/48,574.50
6. Step 6: Final answer
   x = 122,814.85