Finding the Third Proportional to 29,916 and 45,498.38

Step by Step Solution

1. Step 1: Write the proportion equation
   29,916 : 45,498.38 = 45,498.38 : x
2. Step 2: Convert to fraction form
   29,916/45,498.38 = 45,498.38/x
3. Step 3: Cross multiply
   29,916x = 45,498.38 × 45,498.38
4. Step 4: Simplify right side
   29,916x = 2,070,102,127.64
5. Step 5: Solve for x
   x = 2,070,102,127.64/29,916
6. Step 6: Final answer
   x = 69,197.16