Finding the Third Proportional to 38,882.81 and 85,298.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,882.81 : 85,298.63 = 85,298.63 : x
2. Step 2: Convert to fraction form
   38,882.81/85,298.63 = 85,298.63/x
3. Step 3: Cross multiply
   38,882.81x = 85,298.63 × 85,298.63
4. Step 4: Simplify right side
   38,882.81x = 7,275,855,426.89
5. Step 5: Solve for x
   x = 7,275,855,426.89/38,882.81
6. Step 6: Final answer
   x = 187,122.66