Finding the Third Proportional to 35,382 and 52,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,382 : 52,411.50 = 52,411.50 : x
2. Step 2: Convert to fraction form
   35,382/52,411.50 = 52,411.50/x
3. Step 3: Cross multiply
   35,382x = 52,411.50 × 52,411.50
4. Step 4: Simplify right side
   35,382x = 2,746,965,332.25
5. Step 5: Solve for x
   x = 2,746,965,332.25/35,382
6. Step 6: Final answer
   x = 77,637.37