Finding the Third Proportional to 23,046 and 32,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,046 : 32,638.50 = 32,638.50 : x
2. Step 2: Convert to fraction form
   23,046/32,638.50 = 32,638.50/x
3. Step 3: Cross multiply
   23,046x = 32,638.50 × 32,638.50
4. Step 4: Simplify right side
   23,046x = 1,065,271,682.25
5. Step 5: Solve for x
   x = 1,065,271,682.25/23,046
6. Step 6: Final answer
   x = 46,223.71