Finding the Third Proportional to 36,784.97 and 81,897.75

Step by Step Solution

1. Step 1: Write the proportion equation
   36,784.97 : 81,897.75 = 81,897.75 : x
2. Step 2: Convert to fraction form
   36,784.97/81,897.75 = 81,897.75/x
3. Step 3: Cross multiply
   36,784.97x = 81,897.75 × 81,897.75
4. Step 4: Simplify right side
   36,784.97x = 6,707,241,455.06
5. Step 5: Solve for x
   x = 6,707,241,455.06/36,784.97
6. Step 6: Final answer
   x = 182,336.47