Finding the Third Proportional to 37,402.06 and 81,842.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,402.06 : 81,842.13 = 81,842.13 : x
2. Step 2: Convert to fraction form
   37,402.06/81,842.13 = 81,842.13/x
3. Step 3: Cross multiply
   37,402.06x = 81,842.13 × 81,842.13
4. Step 4: Simplify right side
   37,402.06x = 6,698,133,424.52
5. Step 5: Solve for x
   x = 6,698,133,424.52/37,402.06
6. Step 6: Final answer
   x = 179,084.60