Finding the Third Proportional to 20,590 and 42,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,590 : 42,152.50 = 42,152.50 : x
2. Step 2: Convert to fraction form
   20,590/42,152.50 = 42,152.50/x
3. Step 3: Cross multiply
   20,590x = 42,152.50 × 42,152.50
4. Step 4: Simplify right side
   20,590x = 1,776,833,256.25
5. Step 5: Solve for x
   x = 1,776,833,256.25/20,590
6. Step 6: Final answer
   x = 86,295.93