Finding the Third Proportional to 38,840 and 85,090.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,840 : 85,090.75 = 85,090.75 : x
2. Step 2: Convert to fraction form
   38,840/85,090.75 = 85,090.75/x
3. Step 3: Cross multiply
   38,840x = 85,090.75 × 85,090.75
4. Step 4: Simplify right side
   38,840x = 7,240,435,735.56
5. Step 5: Solve for x
   x = 7,240,435,735.56/38,840
6. Step 6: Final answer
   x = 186,416.99