Finding the Third Proportional to 35,346 and 74,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,346 : 74,782.50 = 74,782.50 : x
2. Step 2: Convert to fraction form
   35,346/74,782.50 = 74,782.50/x
3. Step 3: Cross multiply
   35,346x = 74,782.50 × 74,782.50
4. Step 4: Simplify right side
   35,346x = 5,592,422,306.25
5. Step 5: Solve for x
   x = 5,592,422,306.25/35,346
6. Step 6: Final answer
   x = 158,219.38