Finding the Third Proportional to 14,594 and 32,590

Step by Step Solution

1. Step 1: Write the proportion equation
   14,594 : 32,590 = 32,590 : x
2. Step 2: Convert to fraction form
   14,594/32,590 = 32,590/x
3. Step 3: Cross multiply
   14,594x = 32,590 × 32,590
4. Step 4: Simplify right side
   14,594x = 1,062,108,100
5. Step 5: Solve for x
   x = 1,062,108,100/14,594
6. Step 6: Final answer
   x = 72,777.04