Finding the Third Proportional to 37,991.63 and 81,874.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,991.63 : 81,874.13 = 81,874.13 : x
2. Step 2: Convert to fraction form
   37,991.63/81,874.13 = 81,874.13/x
3. Step 3: Cross multiply
   37,991.63x = 81,874.13 × 81,874.13
4. Step 4: Simplify right side
   37,991.63x = 6,703,372,344.52
5. Step 5: Solve for x
   x = 6,703,372,344.52/37,991.63
6. Step 6: Final answer
   x = 176,443.42