Finding the Third Proportional to 23,712 and 32,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,712 : 32,152.50 = 32,152.50 : x
2. Step 2: Convert to fraction form
   23,712/32,152.50 = 32,152.50/x
3. Step 3: Cross multiply
   23,712x = 32,152.50 × 32,152.50
4. Step 4: Simplify right side
   23,712x = 1,033,783,256.25
5. Step 5: Solve for x
   x = 1,033,783,256.25/23,712
6. Step 6: Final answer
   x = 43,597.47