Finding the Third Proportional to 10,085.63 and 21,895.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.63 : 21,895.88 = 21,895.88 : x
2. Step 2: Convert to fraction form
   10,085.63/21,895.88 = 21,895.88/x
3. Step 3: Cross multiply
   10,085.63x = 21,895.88 × 21,895.88
4. Step 4: Simplify right side
   10,085.63x = 479,429,342.02
5. Step 5: Solve for x
   x = 479,429,342.02/10,085.63
6. Step 6: Final answer
   x = 47,535.91