Finding the Third Proportional to 31,194 and 59,511

Step by Step Solution

1. Step 1: Write the proportion equation
   31,194 : 59,511 = 59,511 : x
2. Step 2: Convert to fraction form
   31,194/59,511 = 59,511/x
3. Step 3: Cross multiply
   31,194x = 59,511 × 59,511
4. Step 4: Simplify right side
   31,194x = 3,541,559,121
5. Step 5: Solve for x
   x = 3,541,559,121/31,194
6. Step 6: Final answer
   x = 113,533.34