Finding the Third Proportional to 14,691.38 and 34,637.63

Step by Step Solution

1. Step 1: Write the proportion equation
   14,691.38 : 34,637.63 = 34,637.63 : x
2. Step 2: Convert to fraction form
   14,691.38/34,637.63 = 34,637.63/x
3. Step 3: Cross multiply
   14,691.38x = 34,637.63 × 34,637.63
4. Step 4: Simplify right side
   14,691.38x = 1,199,765,065.64
5. Step 5: Solve for x
   x = 1,199,765,065.64/14,691.38
6. Step 6: Final answer
   x = 81,664.59