Finding the Third Proportional to 38,959.50 and 84,147.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,959.50 : 84,147.75 = 84,147.75 : x
2. Step 2: Convert to fraction form
   38,959.50/84,147.75 = 84,147.75/x
3. Step 3: Cross multiply
   38,959.50x = 84,147.75 × 84,147.75
4. Step 4: Simplify right side
   38,959.50x = 7,080,843,830.06
5. Step 5: Solve for x
   x = 7,080,843,830.06/38,959.50
6. Step 6: Final answer
   x = 181,748.84