Finding the Third Proportional to 35,784.50 and 76,490

Step by Step Solution

1. Step 1: Write the proportion equation
   35,784.50 : 76,490 = 76,490 : x
2. Step 2: Convert to fraction form
   35,784.50/76,490 = 76,490/x
3. Step 3: Cross multiply
   35,784.50x = 76,490 × 76,490
4. Step 4: Simplify right side
   35,784.50x = 5,850,720,100
5. Step 5: Solve for x
   x = 5,850,720,100/35,784.50
6. Step 6: Final answer
   x = 163,498.72