Finding the Third Proportional to 37,434.50 and 81,902

Step by Step Solution

1. Step 1: Write the proportion equation
   37,434.50 : 81,902 = 81,902 : x
2. Step 2: Convert to fraction form
   37,434.50/81,902 = 81,902/x
3. Step 3: Cross multiply
   37,434.50x = 81,902 × 81,902
4. Step 4: Simplify right side
   37,434.50x = 6,707,937,604
5. Step 5: Solve for x
   x = 6,707,937,604/37,434.50
6. Step 6: Final answer
   x = 179,191.32