Finding the Third Proportional to 34,594.50 and 51,892

Step by Step Solution

1. Step 1: Write the proportion equation
   34,594.50 : 51,892 = 51,892 : x
2. Step 2: Convert to fraction form
   34,594.50/51,892 = 51,892/x
3. Step 3: Cross multiply
   34,594.50x = 51,892 × 51,892
4. Step 4: Simplify right side
   34,594.50x = 2,692,779,664
5. Step 5: Solve for x
   x = 2,692,779,664/34,594.50
6. Step 6: Final answer
   x = 77,838.38