Finding the Third Proportional to 38,772 and 57,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,772 : 57,427.50 = 57,427.50 : x
2. Step 2: Convert to fraction form
   38,772/57,427.50 = 57,427.50/x
3. Step 3: Cross multiply
   38,772x = 57,427.50 × 57,427.50
4. Step 4: Simplify right side
   38,772x = 3,297,917,756.25
5. Step 5: Solve for x
   x = 3,297,917,756.25/38,772
6. Step 6: Final answer
   x = 85,059.26