Finding the Third Proportional to 38,947.50 and 85,407.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,947.50 : 85,407.75 = 85,407.75 : x
2. Step 2: Convert to fraction form
   38,947.50/85,407.75 = 85,407.75/x
3. Step 3: Cross multiply
   38,947.50x = 85,407.75 × 85,407.75
4. Step 4: Simplify right side
   38,947.50x = 7,294,483,760.06
5. Step 5: Solve for x
   x = 7,294,483,760.06/38,947.50
6. Step 6: Final answer
   x = 187,290.17