Finding the Third Proportional to 2,632.50 and 5,657.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,632.50 : 5,657.34 = 5,657.34 : x
2. Step 2: Convert to fraction form
   2,632.50/5,657.34 = 5,657.34/x
3. Step 3: Cross multiply
   2,632.50x = 5,657.34 × 5,657.34
4. Step 4: Simplify right side
   2,632.50x = 32,005,538.31
5. Step 5: Solve for x
   x = 32,005,538.31/2,632.50
6. Step 6: Final answer
   x = 12,157.85