Finding the Third Proportional to 27,849 and 58,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,849 : 58,432.50 = 58,432.50 : x
2. Step 2: Convert to fraction form
   27,849/58,432.50 = 58,432.50/x
3. Step 3: Cross multiply
   27,849x = 58,432.50 × 58,432.50
4. Step 4: Simplify right side
   27,849x = 3,414,357,056.25
5. Step 5: Solve for x
   x = 3,414,357,056.25/27,849
6. Step 6: Final answer
   x = 122,602.50