Finding the Third Proportional to 37,939.88 and 83,106.94

Step by Step Solution

1. Step 1: Write the proportion equation
   37,939.88 : 83,106.94 = 83,106.94 : x
2. Step 2: Convert to fraction form
   37,939.88/83,106.94 = 83,106.94/x
3. Step 3: Cross multiply
   37,939.88x = 83,106.94 × 83,106.94
4. Step 4: Simplify right side
   37,939.88x = 6,906,763,060.63
5. Step 5: Solve for x
   x = 6,906,763,060.63/37,939.88
6. Step 6: Final answer
   x = 182,044.96