Finding the Third Proportional to 10,001.81 and 21,461.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,001.81 : 21,461.63 = 21,461.63 : x
2. Step 2: Convert to fraction form
   10,001.81/21,461.63 = 21,461.63/x
3. Step 3: Cross multiply
   10,001.81x = 21,461.63 × 21,461.63
4. Step 4: Simplify right side
   10,001.81x = 460,601,347.64
5. Step 5: Solve for x
   x = 460,601,347.64/10,001.81
6. Step 6: Final answer
   x = 46,051.79