Finding the Third Proportional to 9,585 and 22,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,585 : 22,405.50 = 22,405.50 : x
2. Step 2: Convert to fraction form
   9,585/22,405.50 = 22,405.50/x
3. Step 3: Cross multiply
   9,585x = 22,405.50 × 22,405.50
4. Step 4: Simplify right side
   9,585x = 502,006,430.25
5. Step 5: Solve for x
   x = 502,006,430.25/9,585
6. Step 6: Final answer
   x = 52,374.17