Finding the Third Proportional to 38,898.75 and 85,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,898.75 : 85,327.50 = 85,327.50 : x
2. Step 2: Convert to fraction form
   38,898.75/85,327.50 = 85,327.50/x
3. Step 3: Cross multiply
   38,898.75x = 85,327.50 × 85,327.50
4. Step 4: Simplify right side
   38,898.75x = 7,280,782,256.25
5. Step 5: Solve for x
   x = 7,280,782,256.25/38,898.75
6. Step 6: Final answer
   x = 187,172.65