Finding the Third Proportional to 20,140 and 42,964

Step by Step Solution

1. Step 1: Write the proportion equation
   20,140 : 42,964 = 42,964 : x
2. Step 2: Convert to fraction form
   20,140/42,964 = 42,964/x
3. Step 3: Cross multiply
   20,140x = 42,964 × 42,964
4. Step 4: Simplify right side
   20,140x = 1,845,905,296
5. Step 5: Solve for x
   x = 1,845,905,296/20,140
6. Step 6: Final answer
   x = 91,653.69