Finding the Third Proportional to 31,140 and 64,496.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,140 : 64,496.25 = 64,496.25 : x
2. Step 2: Convert to fraction form
   31,140/64,496.25 = 64,496.25/x
3. Step 3: Cross multiply
   31,140x = 64,496.25 × 64,496.25
4. Step 4: Simplify right side
   31,140x = 4,159,766,264.06
5. Step 5: Solve for x
   x = 4,159,766,264.06/31,140
6. Step 6: Final answer
   x = 133,582.73