Finding the Third Proportional to 24,645 and 37,881.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,645 : 37,881.50 = 37,881.50 : x
2. Step 2: Convert to fraction form
   24,645/37,881.50 = 37,881.50/x
3. Step 3: Cross multiply
   24,645x = 37,881.50 × 37,881.50
4. Step 4: Simplify right side
   24,645x = 1,435,008,042.25
5. Step 5: Solve for x
   x = 1,435,008,042.25/24,645
6. Step 6: Final answer
   x = 58,227.15