Finding the Third Proportional to 52,410 and 83,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,410 : 83,596.50 = 83,596.50 : x
2. Step 2: Convert to fraction form
   52,410/83,596.50 = 83,596.50/x
3. Step 3: Cross multiply
   52,410x = 83,596.50 × 83,596.50
4. Step 4: Simplify right side
   52,410x = 6,988,374,812.25
5. Step 5: Solve for x
   x = 6,988,374,812.25/52,410
6. Step 6: Final answer
   x = 133,340.48