Finding the Third Proportional to 14,748 and 31,852

Step by Step Solution

1. Step 1: Write the proportion equation
   14,748 : 31,852 = 31,852 : x
2. Step 2: Convert to fraction form
   14,748/31,852 = 31,852/x
3. Step 3: Cross multiply
   14,748x = 31,852 × 31,852
4. Step 4: Simplify right side
   14,748x = 1,014,549,904
5. Step 5: Solve for x
   x = 1,014,549,904/14,748
6. Step 6: Final answer
   x = 68,792.37