Finding the Third Proportional to 38,178 and 57,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,178 : 57,271.50 = 57,271.50 : x
2. Step 2: Convert to fraction form
   38,178/57,271.50 = 57,271.50/x
3. Step 3: Cross multiply
   38,178x = 57,271.50 × 57,271.50
4. Step 4: Simplify right side
   38,178x = 3,280,024,712.25
5. Step 5: Solve for x
   x = 3,280,024,712.25/38,178
6. Step 6: Final answer
   x = 85,914.00