Finding the Third Proportional to 27,754 and 58,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,754 : 58,409.50 = 58,409.50 : x
2. Step 2: Convert to fraction form
   27,754/58,409.50 = 58,409.50/x
3. Step 3: Cross multiply
   27,754x = 58,409.50 × 58,409.50
4. Step 4: Simplify right side
   27,754x = 3,411,669,690.25
5. Step 5: Solve for x
   x = 3,411,669,690.25/27,754
6. Step 6: Final answer
   x = 122,925.33