Finding the Third Proportional to 24,578 and 37,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,578 : 37,070.50 = 37,070.50 : x
2. Step 2: Convert to fraction form
   24,578/37,070.50 = 37,070.50/x
3. Step 3: Cross multiply
   24,578x = 37,070.50 × 37,070.50
4. Step 4: Simplify right side
   24,578x = 1,374,221,970.25
5. Step 5: Solve for x
   x = 1,374,221,970.25/24,578
6. Step 6: Final answer
   x = 55,912.68