Finding the Third Proportional to 34,023 and 52,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,023 : 52,810.50 = 52,810.50 : x
2. Step 2: Convert to fraction form
   34,023/52,810.50 = 52,810.50/x
3. Step 3: Cross multiply
   34,023x = 52,810.50 × 52,810.50
4. Step 4: Simplify right side
   34,023x = 2,788,948,910.25
5. Step 5: Solve for x
   x = 2,788,948,910.25/34,023
6. Step 6: Final answer
   x = 81,972.46