Finding the Third Proportional to 35,352 and 75,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,352 : 75,763.50 = 75,763.50 : x
2. Step 2: Convert to fraction form
   35,352/75,763.50 = 75,763.50/x
3. Step 3: Cross multiply
   35,352x = 75,763.50 × 75,763.50
4. Step 4: Simplify right side
   35,352x = 5,740,107,932.25
5. Step 5: Solve for x
   x = 5,740,107,932.25/35,352
6. Step 6: Final answer
   x = 162,370.10