Finding the Third Proportional to 37,963.50 and 83,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,963.50 : 83,077.50 = 83,077.50 : x
2. Step 2: Convert to fraction form
   37,963.50/83,077.50 = 83,077.50/x
3. Step 3: Cross multiply
   37,963.50x = 83,077.50 × 83,077.50
4. Step 4: Simplify right side
   37,963.50x = 6,901,871,006.25
5. Step 5: Solve for x
   x = 6,901,871,006.25/37,963.50
6. Step 6: Final answer
   x = 181,802.81