Finding the Third Proportional to 20,791 and 45,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,791 : 45,733.50 = 45,733.50 : x
2. Step 2: Convert to fraction form
   20,791/45,733.50 = 45,733.50/x
3. Step 3: Cross multiply
   20,791x = 45,733.50 × 45,733.50
4. Step 4: Simplify right side
   20,791x = 2,091,553,022.25
5. Step 5: Solve for x
   x = 2,091,553,022.25/20,791
6. Step 6: Final answer
   x = 100,598.96