Finding the Third Proportional to 24,632.50 and 38,213.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,632.50 : 38,213.75 = 38,213.75 : x
2. Step 2: Convert to fraction form
   24,632.50/38,213.75 = 38,213.75/x
3. Step 3: Cross multiply
   24,632.50x = 38,213.75 × 38,213.75
4. Step 4: Simplify right side
   24,632.50x = 1,460,290,689.06
5. Step 5: Solve for x
   x = 1,460,290,689.06/24,632.50
6. Step 6: Final answer
   x = 59,283.09