Finding the Third Proportional to 13,830.75 and 29,633.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,830.75 : 29,633.63 = 29,633.63 : x
2. Step 2: Convert to fraction form
   13,830.75/29,633.63 = 29,633.63/x
3. Step 3: Cross multiply
   13,830.75x = 29,633.63 × 29,633.63
4. Step 4: Simplify right side
   13,830.75x = 878,151,730.64
5. Step 5: Solve for x
   x = 878,151,730.64/13,830.75
6. Step 6: Final answer
   x = 63,492.71