Finding the Third Proportional to 38,361.09 and 83,691.98

Step by Step Solution

1. Step 1: Write the proportion equation
   38,361.09 : 83,691.98 = 83,691.98 : x
2. Step 2: Convert to fraction form
   38,361.09/83,691.98 = 83,691.98/x
3. Step 3: Cross multiply
   38,361.09x = 83,691.98 × 83,691.98
4. Step 4: Simplify right side
   38,361.09x = 7,004,348,248.63
5. Step 5: Solve for x
   x = 7,004,348,248.63/38,361.09
6. Step 6: Final answer
   x = 182,589.90