Finding the Third Proportional to 52,464.50 and 81,834.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,464.50 : 81,834.75 = 81,834.75 : x
2. Step 2: Convert to fraction form
   52,464.50/81,834.75 = 81,834.75/x
3. Step 3: Cross multiply
   52,464.50x = 81,834.75 × 81,834.75
4. Step 4: Simplify right side
   52,464.50x = 6,696,926,307.56
5. Step 5: Solve for x
   x = 6,696,926,307.56/52,464.50
6. Step 6: Final answer
   x = 127,646.81