Finding the Third Proportional to 38,595 and 57,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,595 : 57,748.50 = 57,748.50 : x
2. Step 2: Convert to fraction form
   38,595/57,748.50 = 57,748.50/x
3. Step 3: Cross multiply
   38,595x = 57,748.50 × 57,748.50
4. Step 4: Simplify right side
   38,595x = 3,334,889,252.25
5. Step 5: Solve for x
   x = 3,334,889,252.25/38,595
6. Step 6: Final answer
   x = 86,407.29