Finding the Third Proportional to 38,181 and 55,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,181 : 55,759.50 = 55,759.50 : x
2. Step 2: Convert to fraction form
   38,181/55,759.50 = 55,759.50/x
3. Step 3: Cross multiply
   38,181x = 55,759.50 × 55,759.50
4. Step 4: Simplify right side
   38,181x = 3,109,121,840.25
5. Step 5: Solve for x
   x = 3,109,121,840.25/38,181
6. Step 6: Final answer
   x = 81,431.13