Finding the Third Proportional to 24,142.50 and 38,415.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,142.50 : 38,415.75 = 38,415.75 : x
2. Step 2: Convert to fraction form
   24,142.50/38,415.75 = 38,415.75/x
3. Step 3: Cross multiply
   24,142.50x = 38,415.75 × 38,415.75
4. Step 4: Simplify right side
   24,142.50x = 1,475,769,848.06
5. Step 5: Solve for x
   x = 1,475,769,848.06/24,142.50
6. Step 6: Final answer
   x = 61,127.47