Finding the Third Proportional to 38,477.53 and 83,721.09

Step by Step Solution

1. Step 1: Write the proportion equation
   38,477.53 : 83,721.09 = 83,721.09 : x
2. Step 2: Convert to fraction form
   38,477.53/83,721.09 = 83,721.09/x
3. Step 3: Cross multiply
   38,477.53x = 83,721.09 × 83,721.09
4. Step 4: Simplify right side
   38,477.53x = 7,009,221,538.70
5. Step 5: Solve for x
   x = 7,009,221,538.70/38,477.53
6. Step 6: Final answer
   x = 182,164.01