Finding the Third Proportional to 23,643 and 32,125.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,643 : 32,125.50 = 32,125.50 : x
2. Step 2: Convert to fraction form
   23,643/32,125.50 = 32,125.50/x
3. Step 3: Cross multiply
   23,643x = 32,125.50 × 32,125.50
4. Step 4: Simplify right side
   23,643x = 1,032,047,750.25
5. Step 5: Solve for x
   x = 1,032,047,750.25/23,643
6. Step 6: Final answer
   x = 43,651.30