Finding the Third Proportional to 19,377 and 41,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,377 : 41,917.50 = 41,917.50 : x
2. Step 2: Convert to fraction form
   19,377/41,917.50 = 41,917.50/x
3. Step 3: Cross multiply
   19,377x = 41,917.50 × 41,917.50
4. Step 4: Simplify right side
   19,377x = 1,757,076,806.25
5. Step 5: Solve for x
   x = 1,757,076,806.25/19,377
6. Step 6: Final answer
   x = 90,678.47