Finding the Third Proportional to 38,535 and 57,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,535 : 57,541.50 = 57,541.50 : x
2. Step 2: Convert to fraction form
   38,535/57,541.50 = 57,541.50/x
3. Step 3: Cross multiply
   38,535x = 57,541.50 × 57,541.50
4. Step 4: Simplify right side
   38,535x = 3,311,024,222.25
5. Step 5: Solve for x
   x = 3,311,024,222.25/38,535
6. Step 6: Final answer
   x = 85,922.52