Finding the Third Proportional to 35,762.63 and 48,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,762.63 : 48,514.50 = 48,514.50 : x
2. Step 2: Convert to fraction form
   35,762.63/48,514.50 = 48,514.50/x
3. Step 3: Cross multiply
   35,762.63x = 48,514.50 × 48,514.50
4. Step 4: Simplify right side
   35,762.63x = 2,353,656,710.25
5. Step 5: Solve for x
   x = 2,353,656,710.25/35,762.63
6. Step 6: Final answer
   x = 65,813.31