Finding the Third Proportional to 35,798.63 and 75,513.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35,798.63 : 75,513.38 = 75,513.38 : x
2. Step 2: Convert to fraction form
   35,798.63/75,513.38 = 75,513.38/x
3. Step 3: Cross multiply
   35,798.63x = 75,513.38 × 75,513.38
4. Step 4: Simplify right side
   35,798.63x = 5,702,269,803.89
5. Step 5: Solve for x
   x = 5,702,269,803.89/35,798.63
6. Step 6: Final answer
   x = 159,287.40