Finding the Third Proportional to 38,953.41 and 83,725.88

Step by Step Solution

1. Step 1: Write the proportion equation
   38,953.41 : 83,725.88 = 83,725.88 : x
2. Step 2: Convert to fraction form
   38,953.41/83,725.88 = 83,725.88/x
3. Step 3: Cross multiply
   38,953.41x = 83,725.88 × 83,725.88
4. Step 4: Simplify right side
   38,953.41x = 7,010,022,144.52
5. Step 5: Solve for x
   x = 7,010,022,144.52/38,953.41
6. Step 6: Final answer
   x = 179,959.16