Finding the Third Proportional to 10,077.75 and 21,880.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.75 : 21,880.88 = 21,880.88 : x
2. Step 2: Convert to fraction form
   10,077.75/21,880.88 = 21,880.88/x
3. Step 3: Cross multiply
   10,077.75x = 21,880.88 × 21,880.88
4. Step 4: Simplify right side
   10,077.75x = 478,772,690.77
5. Step 5: Solve for x
   x = 478,772,690.77/10,077.75
6. Step 6: Final answer
   x = 47,507.90