Finding the Third Proportional to 38,340.84 and 83,652.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,340.84 : 83,652.75 = 83,652.75 : x
2. Step 2: Convert to fraction form
   38,340.84/83,652.75 = 83,652.75/x
3. Step 3: Cross multiply
   38,340.84x = 83,652.75 × 83,652.75
4. Step 4: Simplify right side
   38,340.84x = 6,997,782,582.56
5. Step 5: Solve for x
   x = 6,997,782,582.56/38,340.84
6. Step 6: Final answer
   x = 182,515.09