Finding the Third Proportional to 35,376 and 52,254

Step by Step Solution

1. Step 1: Write the proportion equation
   35,376 : 52,254 = 52,254 : x
2. Step 2: Convert to fraction form
   35,376/52,254 = 52,254/x
3. Step 3: Cross multiply
   35,376x = 52,254 × 52,254
4. Step 4: Simplify right side
   35,376x = 2,730,480,516
5. Step 5: Solve for x
   x = 2,730,480,516/35,376
6. Step 6: Final answer
   x = 77,184.55