Finding the Third Proportional to 21,599 and 35,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,599 : 35,269.50 = 35,269.50 : x
2. Step 2: Convert to fraction form
   21,599/35,269.50 = 35,269.50/x
3. Step 3: Cross multiply
   21,599x = 35,269.50 × 35,269.50
4. Step 4: Simplify right side
   21,599x = 1,243,937,630.25
5. Step 5: Solve for x
   x = 1,243,937,630.25/21,599
6. Step 6: Final answer
   x = 57,592.37