Finding the Third Proportional to 32,550 and 47,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,550 : 47,590.50 = 47,590.50 : x
2. Step 2: Convert to fraction form
   32,550/47,590.50 = 47,590.50/x
3. Step 3: Cross multiply
   32,550x = 47,590.50 × 47,590.50
4. Step 4: Simplify right side
   32,550x = 2,264,855,690.25
5. Step 5: Solve for x
   x = 2,264,855,690.25/32,550
6. Step 6: Final answer
   x = 69,580.82