Finding the Third Proportional to 23,585 and 32,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,585 : 32,047.50 = 32,047.50 : x
2. Step 2: Convert to fraction form
   23,585/32,047.50 = 32,047.50/x
3. Step 3: Cross multiply
   23,585x = 32,047.50 × 32,047.50
4. Step 4: Simplify right side
   23,585x = 1,027,042,256.25
5. Step 5: Solve for x
   x = 1,027,042,256.25/23,585
6. Step 6: Final answer
   x = 43,546.42