Finding the Third Proportional to 37,814.50 and 79,499

Step by Step Solution

1. Step 1: Write the proportion equation
   37,814.50 : 79,499 = 79,499 : x
2. Step 2: Convert to fraction form
   37,814.50/79,499 = 79,499/x
3. Step 3: Cross multiply
   37,814.50x = 79,499 × 79,499
4. Step 4: Simplify right side
   37,814.50x = 6,320,091,001
5. Step 5: Solve for x
   x = 6,320,091,001/37,814.50
6. Step 6: Final answer
   x = 167,134.06