Finding the Third Proportional to 39,748 and 85,064

Step by Step Solution

1. Step 1: Write the proportion equation
   39,748 : 85,064 = 85,064 : x
2. Step 2: Convert to fraction form
   39,748/85,064 = 85,064/x
3. Step 3: Cross multiply
   39,748x = 85,064 × 85,064
4. Step 4: Simplify right side
   39,748x = 7,235,884,096
5. Step 5: Solve for x
   x = 7,235,884,096/39,748
6. Step 6: Final answer
   x = 182,043.98