Finding the Third Proportional to 31,280 and 65,140

Step by Step Solution

1. Step 1: Write the proportion equation
   31,280 : 65,140 = 65,140 : x
2. Step 2: Convert to fraction form
   31,280/65,140 = 65,140/x
3. Step 3: Cross multiply
   31,280x = 65,140 × 65,140
4. Step 4: Simplify right side
   31,280x = 4,243,219,600
5. Step 5: Solve for x
   x = 4,243,219,600/31,280
6. Step 6: Final answer
   x = 135,652.80