Finding the Third Proportional to 37,402.09 and 81,842.19

Step by Step Solution

1. Step 1: Write the proportion equation
   37,402.09 : 81,842.19 = 81,842.19 : x
2. Step 2: Convert to fraction form
   37,402.09/81,842.19 = 81,842.19/x
3. Step 3: Cross multiply
   37,402.09x = 81,842.19 × 81,842.19
4. Step 4: Simplify right side
   37,402.09x = 6,698,143,654.79
5. Step 5: Solve for x
   x = 6,698,143,654.79/37,402.09
6. Step 6: Final answer
   x = 179,084.72