Finding the Third Proportional to 22,872 and 32,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,872 : 32,038.50 = 32,038.50 : x
2. Step 2: Convert to fraction form
   22,872/32,038.50 = 32,038.50/x
3. Step 3: Cross multiply
   22,872x = 32,038.50 × 32,038.50
4. Step 4: Simplify right side
   22,872x = 1,026,465,482.25
5. Step 5: Solve for x
   x = 1,026,465,482.25/22,872
6. Step 6: Final answer
   x = 44,878.69