Finding the Third Proportional to 24,791 and 37,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,791 : 37,767.50 = 37,767.50 : x
2. Step 2: Convert to fraction form
   24,791/37,767.50 = 37,767.50/x
3. Step 3: Cross multiply
   24,791x = 37,767.50 × 37,767.50
4. Step 4: Simplify right side
   24,791x = 1,426,384,056.25
5. Step 5: Solve for x
   x = 1,426,384,056.25/24,791
6. Step 6: Final answer
   x = 57,536.37