Finding the Third Proportional to 22,410 and 47,764

Step by Step Solution

1. Step 1: Write the proportion equation
   22,410 : 47,764 = 47,764 : x
2. Step 2: Convert to fraction form
   22,410/47,764 = 47,764/x
3. Step 3: Cross multiply
   22,410x = 47,764 × 47,764
4. Step 4: Simplify right side
   22,410x = 2,281,399,696
5. Step 5: Solve for x
   x = 2,281,399,696/22,410
6. Step 6: Final answer
   x = 101,802.75