Finding the Third Proportional to 49,156 and 73,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,156 : 73,977.50 = 73,977.50 : x
2. Step 2: Convert to fraction form
   49,156/73,977.50 = 73,977.50/x
3. Step 3: Cross multiply
   49,156x = 73,977.50 × 73,977.50
4. Step 4: Simplify right side
   49,156x = 5,472,670,506.25
5. Step 5: Solve for x
   x = 5,472,670,506.25/49,156
6. Step 6: Final answer
   x = 111,332.71