Finding the Third Proportional to 52,401 and 83,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,401 : 83,767.50 = 83,767.50 : x
2. Step 2: Convert to fraction form
   52,401/83,767.50 = 83,767.50/x
3. Step 3: Cross multiply
   52,401x = 83,767.50 × 83,767.50
4. Step 4: Simplify right side
   52,401x = 7,016,994,056.25
5. Step 5: Solve for x
   x = 7,016,994,056.25/52,401
6. Step 6: Final answer
   x = 133,909.54