Finding the Third Proportional to 13,894.31 and 29,975.63

Step by Step Solution

1. Step 1: Write the proportion equation
   13,894.31 : 29,975.63 = 29,975.63 : x
2. Step 2: Convert to fraction form
   13,894.31/29,975.63 = 29,975.63/x
3. Step 3: Cross multiply
   13,894.31x = 29,975.63 × 29,975.63
4. Step 4: Simplify right side
   13,894.31x = 898,538,094.14
5. Step 5: Solve for x
   x = 898,538,094.14/13,894.31
6. Step 6: Final answer
   x = 64,669.49