Finding the Third Proportional to 31,808 and 52,370

Step by Step Solution

1. Step 1: Write the proportion equation
   31,808 : 52,370 = 52,370 : x
2. Step 2: Convert to fraction form
   31,808/52,370 = 52,370/x
3. Step 3: Cross multiply
   31,808x = 52,370 × 52,370
4. Step 4: Simplify right side
   31,808x = 2,742,616,900
5. Step 5: Solve for x
   x = 2,742,616,900/31,808
6. Step 6: Final answer
   x = 86,224.12