Finding the Third Proportional to 21,748 and 34,566

Step by Step Solution

1. Step 1: Write the proportion equation
   21,748 : 34,566 = 34,566 : x
2. Step 2: Convert to fraction form
   21,748/34,566 = 34,566/x
3. Step 3: Cross multiply
   21,748x = 34,566 × 34,566
4. Step 4: Simplify right side
   21,748x = 1,194,808,356
5. Step 5: Solve for x
   x = 1,194,808,356/21,748
6. Step 6: Final answer
   x = 54,938.77