Finding the Third Proportional to 29,745 and 46,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,745 : 46,066.50 = 46,066.50 : x
2. Step 2: Convert to fraction form
   29,745/46,066.50 = 46,066.50/x
3. Step 3: Cross multiply
   29,745x = 46,066.50 × 46,066.50
4. Step 4: Simplify right side
   29,745x = 2,122,122,422.25
5. Step 5: Solve for x
   x = 2,122,122,422.25/29,745
6. Step 6: Final answer
   x = 71,343.84